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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 477 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
(11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(12) TRS for Loop Detection
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (18) CpxWeightedTrs
    (19) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxTypedWeightedTrs
    (21) CompletionProof [UPPER BOUND(ID), 0 ms]
    (22) CpxTypedWeightedCompleteTrs
        (23) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 8 ms]
        (24) CpxRNTS
    (25) CompletionProof [UPPER BOUND(ID), 0 ms]
    (26) CpxTypedWeightedCompleteTrs
(27) CpxTrsToCdtProof [UPPER BOUND(ID), 43 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), 9 ms]
    (34) CdtProblem
    (35) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (36) CdtProblem
    (37) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 66 ms]
    (38) CdtProblem
    (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5 ms]
    (40) CdtProblem
    (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 2 ms]
    (42) CdtProblem
    (43) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 34 ms]
    (44) CdtProblem
    (45) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (46) CdtProblem
    (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 131 ms]
    (48) CdtProblem
    (49) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 24 ms]
    (50) CdtProblem
    (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 87 ms]
    (52) CdtProblem
    (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (54) CdtProblem
    (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 43 ms]
    (56) CdtProblem
    (57) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (58) CdtProblem
    (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 41 ms]
    (60) CdtProblem
    (61) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (62) CdtProblem
    (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 129 ms]
    (64) CdtProblem
    (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 7 ms]
    (66) CdtProblem
    (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 67 ms]
    (68) CdtProblem
    (69) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 14 ms]
    (70) CdtProblem
    (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 200 ms]
    (72) CdtProblem
    (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 15 ms]
    (74) CdtProblem
    (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 402 ms]
    (76) CdtProblem
    (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 72 ms]
    (78) CdtProblem
    (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 117 ms]
    (80) CdtProblem
    (81) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 20 ms]
    (82) CdtProblem
    (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 284 ms]
    (84) CdtProblem
    (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 30 ms]
    (86) CdtProblem
    (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 304 ms]
    (88) CdtProblem
    (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 55 ms]
    (90) CdtProblem
    (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 142 ms]
    (92) CdtProblem
    (93) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 29 ms]
    (94) CdtProblem
    (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 70 ms]
    (96) CdtProblem
    (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 77 ms]
    (98) CdtProblem
    (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms]
    (100) CdtProblem
    (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 91 ms]
    (102) CdtProblem
    (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 72 ms]
    (104) CdtProblem
    (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 64 ms]
    (106) CdtProblem
    (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 70 ms]
    (108) CdtProblem
    (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 82 ms]
    (110) CdtProblem
    (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (112) CdtProblem
    (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 153 ms]
    (114) CdtProblem
    (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 116 ms]
    (116) CdtProblem
    (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 48 ms]
    (118) CdtProblem
    (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 17 ms]
    (120) CdtProblem
    (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 69 ms]
    (122) CdtProblem
    (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 84 ms]
    (124) CdtProblem
    (125) CdtLeafRemovalProof [ComplexityIfPolyImplication, 29 ms]
    (126) CdtProblem
    (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 50 ms]
    (128) CdtProblem
    (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 72 ms]
    (130) CdtProblem
    (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 28 ms]
    (132) 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(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
   active(U12(tt, V2)) -> mark(U13(isNat(V2)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, V1)) -> mark(U22(isNat(V1)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, N)) -> mark(N)
   active(U41(tt, M, N)) -> mark(s(plus(N, M)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
   active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
   active(isNatKind(s(V1))) -> mark(isNatKind(V1))
   active(plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N))
   active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(U13(X)) -> active(U13(mark(X)))
   mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
   mark(U22(X)) -> active(U22(mark(X)))
   mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
   mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(0) -> active(0)
   mark(isNatKind(X)) -> active(isNatKind(X))
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2) -> U12(X1, X2)
   U12(X1, mark(X2)) -> U12(X1, X2)
   U12(active(X1), X2) -> U12(X1, X2)
   U12(X1, active(X2)) -> U12(X1, X2)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   U13(mark(X)) -> U13(X)
   U13(active(X)) -> U13(X)
   U21(mark(X1), X2) -> U21(X1, X2)
   U21(X1, mark(X2)) -> U21(X1, X2)
   U21(active(X1), X2) -> U21(X1, X2)
   U21(X1, active(X2)) -> U21(X1, X2)
   U22(mark(X)) -> U22(X)
   U22(active(X)) -> U22(X)
   U31(mark(X1), X2) -> U31(X1, X2)
   U31(X1, mark(X2)) -> U31(X1, X2)
   U31(active(X1), X2) -> U31(X1, X2)
   U31(X1, active(X2)) -> U31(X1, X2)
   U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
   U41(active(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, active(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(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)
   isNatKind(mark(X)) -> isNatKind(X)
   isNatKind(active(X)) -> isNatKind(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(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_U13(x_1)) -> U13(encArg(x_1))
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
   encArg(cons_U22(x_1)) -> U22(encArg(x_1))
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_U13(x_1) -> U13(encArg(x_1))
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
   encode_U22(x_1) -> U22(encArg(x_1))
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_isNatKind(x_1) -> isNatKind(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(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
   active(U12(tt, V2)) -> mark(U13(isNat(V2)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, V1)) -> mark(U22(isNat(V1)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, N)) -> mark(N)
   active(U41(tt, M, N)) -> mark(s(plus(N, M)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
   active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
   active(isNatKind(s(V1))) -> mark(isNatKind(V1))
   active(plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N))
   active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(U13(X)) -> active(U13(mark(X)))
   mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
   mark(U22(X)) -> active(U22(mark(X)))
   mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
   mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(0) -> active(0)
   mark(isNatKind(X)) -> active(isNatKind(X))
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2) -> U12(X1, X2)
   U12(X1, mark(X2)) -> U12(X1, X2)
   U12(active(X1), X2) -> U12(X1, X2)
   U12(X1, active(X2)) -> U12(X1, X2)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   U13(mark(X)) -> U13(X)
   U13(active(X)) -> U13(X)
   U21(mark(X1), X2) -> U21(X1, X2)
   U21(X1, mark(X2)) -> U21(X1, X2)
   U21(active(X1), X2) -> U21(X1, X2)
   U21(X1, active(X2)) -> U21(X1, X2)
   U22(mark(X)) -> U22(X)
   U22(active(X)) -> U22(X)
   U31(mark(X1), X2) -> U31(X1, X2)
   U31(X1, mark(X2)) -> U31(X1, X2)
   U31(active(X1), X2) -> U31(X1, X2)
   U31(X1, active(X2)) -> U31(X1, X2)
   U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
   U41(active(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, active(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(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)
   isNatKind(mark(X)) -> isNatKind(X)
   isNatKind(active(X)) -> isNatKind(X)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_U13(x_1)) -> U13(encArg(x_1))
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
   encArg(cons_U22(x_1)) -> U22(encArg(x_1))
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_U13(x_1) -> U13(encArg(x_1))
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
   encode_U22(x_1) -> U22(encArg(x_1))
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_isNatKind(x_1) -> isNatKind(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(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
   active(U12(tt, V2)) -> mark(U13(isNat(V2)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, V1)) -> mark(U22(isNat(V1)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, N)) -> mark(N)
   active(U41(tt, M, N)) -> mark(s(plus(N, M)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
   active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
   active(isNatKind(s(V1))) -> mark(isNatKind(V1))
   active(plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N))
   active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(U13(X)) -> active(U13(mark(X)))
   mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
   mark(U22(X)) -> active(U22(mark(X)))
   mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
   mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(0) -> active(0)
   mark(isNatKind(X)) -> active(isNatKind(X))
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2) -> U12(X1, X2)
   U12(X1, mark(X2)) -> U12(X1, X2)
   U12(active(X1), X2) -> U12(X1, X2)
   U12(X1, active(X2)) -> U12(X1, X2)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   U13(mark(X)) -> U13(X)
   U13(active(X)) -> U13(X)
   U21(mark(X1), X2) -> U21(X1, X2)
   U21(X1, mark(X2)) -> U21(X1, X2)
   U21(active(X1), X2) -> U21(X1, X2)
   U21(X1, active(X2)) -> U21(X1, X2)
   U22(mark(X)) -> U22(X)
   U22(active(X)) -> U22(X)
   U31(mark(X1), X2) -> U31(X1, X2)
   U31(X1, mark(X2)) -> U31(X1, X2)
   U31(active(X1), X2) -> U31(X1, X2)
   U31(X1, active(X2)) -> U31(X1, X2)
   U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
   U41(active(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, active(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(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)
   isNatKind(mark(X)) -> isNatKind(X)
   isNatKind(active(X)) -> isNatKind(X)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_U13(x_1)) -> U13(encArg(x_1))
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
   encArg(cons_U22(x_1)) -> U22(encArg(x_1))
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_U13(x_1) -> U13(encArg(x_1))
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
   encode_U22(x_1) -> U22(encArg(x_1))
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   active(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
   active(U12(tt, V2)) -> mark(U13(isNat(V2)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, V1)) -> mark(U22(isNat(V1)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, N)) -> mark(N)
   active(U41(tt, M, N)) -> mark(s(plus(N, M)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0')) -> mark(tt)
   active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
   active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
   active(isNatKind(0')) -> mark(tt)
   active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
   active(isNatKind(s(V1))) -> mark(isNatKind(V1))
   active(plus(N, 0')) -> mark(U31(and(isNat(N), isNatKind(N)), N))
   active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(U13(X)) -> active(U13(mark(X)))
   mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
   mark(U22(X)) -> active(U22(mark(X)))
   mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
   mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(0') -> active(0')
   mark(isNatKind(X)) -> active(isNatKind(X))
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2) -> U12(X1, X2)
   U12(X1, mark(X2)) -> U12(X1, X2)
   U12(active(X1), X2) -> U12(X1, X2)
   U12(X1, active(X2)) -> U12(X1, X2)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   U13(mark(X)) -> U13(X)
   U13(active(X)) -> U13(X)
   U21(mark(X1), X2) -> U21(X1, X2)
   U21(X1, mark(X2)) -> U21(X1, X2)
   U21(active(X1), X2) -> U21(X1, X2)
   U21(X1, active(X2)) -> U21(X1, X2)
   U22(mark(X)) -> U22(X)
   U22(active(X)) -> U22(X)
   U31(mark(X1), X2) -> U31(X1, X2)
   U31(X1, mark(X2)) -> U31(X1, X2)
   U31(active(X1), X2) -> U31(X1, X2)
   U31(X1, active(X2)) -> U31(X1, X2)
   U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
   U41(active(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, active(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(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)
   isNatKind(mark(X)) -> isNatKind(X)
   isNatKind(active(X)) -> isNatKind(X)

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

   encArg(tt) -> tt
   encArg(0') -> 0'
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_U13(x_1)) -> U13(encArg(x_1))
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
   encArg(cons_U22(x_1)) -> U22(encArg(x_1))
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_U13(x_1) -> U13(encArg(x_1))
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
   encode_U22(x_1) -> U22(encArg(x_1))
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_0 -> 0'
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1))

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

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

(8)
Obligation:
Innermost TRS:
Rules:
active(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
active(U12(tt, V2)) -> mark(U13(isNat(V2)))
active(U13(tt)) -> mark(tt)
active(U21(tt, V1)) -> mark(U22(isNat(V1)))
active(U22(tt)) -> mark(tt)
active(U31(tt, N)) -> mark(N)
active(U41(tt, M, N)) -> mark(s(plus(N, M)))
active(and(tt, X)) -> mark(X)
active(isNat(0')) -> mark(tt)
active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
active(isNatKind(0')) -> mark(tt)
active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
active(isNatKind(s(V1))) -> mark(isNatKind(V1))
active(plus(N, 0')) -> mark(U31(and(isNat(N), isNatKind(N)), N))
active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
mark(tt) -> active(tt)
mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
mark(isNat(X)) -> active(isNat(X))
mark(U13(X)) -> active(U13(mark(X)))
mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
mark(U22(X)) -> active(U22(mark(X)))
mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
mark(s(X)) -> active(s(mark(X)))
mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
mark(and(X1, X2)) -> active(and(mark(X1), X2))
mark(0') -> active(0')
mark(isNatKind(X)) -> active(isNatKind(X))
U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
U11(active(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, active(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
U12(mark(X1), X2) -> U12(X1, X2)
U12(X1, mark(X2)) -> U12(X1, X2)
U12(active(X1), X2) -> U12(X1, X2)
U12(X1, active(X2)) -> U12(X1, X2)
isNat(mark(X)) -> isNat(X)
isNat(active(X)) -> isNat(X)
U13(mark(X)) -> U13(X)
U13(active(X)) -> U13(X)
U21(mark(X1), X2) -> U21(X1, X2)
U21(X1, mark(X2)) -> U21(X1, X2)
U21(active(X1), X2) -> U21(X1, X2)
U21(X1, active(X2)) -> U21(X1, X2)
U22(mark(X)) -> U22(X)
U22(active(X)) -> U22(X)
U31(mark(X1), X2) -> U31(X1, X2)
U31(X1, mark(X2)) -> U31(X1, X2)
U31(active(X1), X2) -> U31(X1, X2)
U31(X1, active(X2)) -> U31(X1, X2)
U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
U41(active(X1), X2, X3) -> U41(X1, X2, X3)
U41(X1, active(X2), X3) -> U41(X1, X2, X3)
U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
plus(mark(X1), X2) -> plus(X1, X2)
plus(X1, mark(X2)) -> plus(X1, X2)
plus(active(X1), X2) -> plus(X1, X2)
plus(X1, active(X2)) -> plus(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)
isNatKind(mark(X)) -> isNatKind(X)
isNatKind(active(X)) -> isNatKind(X)
encArg(tt) -> tt
encArg(0') -> 0'
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
encArg(cons_U13(x_1)) -> U13(encArg(x_1))
encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
encArg(cons_U22(x_1)) -> U22(encArg(x_1))
encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
encode_active(x_1) -> active(encArg(x_1))
encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encode_tt -> tt
encode_mark(x_1) -> mark(encArg(x_1))
encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
encode_isNat(x_1) -> isNat(encArg(x_1))
encode_U13(x_1) -> U13(encArg(x_1))
encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
encode_U22(x_1) -> U22(encArg(x_1))
encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
encode_s(x_1) -> s(encArg(x_1))
encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
encode_0 -> 0'
encode_isNatKind(x_1) -> isNatKind(encArg(x_1))

Types:
active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U13 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
and :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
0' :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
isNatKind :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encArg :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U13 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_and :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_isNatKind :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U13 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_and :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_0 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_isNatKind :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
hole_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind1_4 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind2_4 :: Nat -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind

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

(9) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
active, mark, U12, isNat, U13, U22, s, plus, U11, and, isNatKind, U21, U31, U41, encArg

They will be analysed ascendingly in the following order:
active = mark
U12 < active
isNat < active
U13 < active
U22 < active
s < active
plus < active
U11 < active
and < active
isNatKind < active
U21 < active
U31 < active
U41 < active
active < encArg
U12 < mark
isNat < mark
U13 < mark
U22 < mark
s < mark
plus < mark
U11 < mark
and < mark
isNatKind < mark
U21 < mark
U31 < mark
U41 < mark
mark < encArg
U12 < encArg
isNat < encArg
U13 < encArg
U22 < encArg
s < encArg
plus < encArg
U11 < encArg
and < encArg
isNatKind < encArg
U21 < encArg
U31 < encArg
U41 < encArg

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

(10)
Obligation:
Innermost TRS:
Rules:
active(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
active(U12(tt, V2)) -> mark(U13(isNat(V2)))
active(U13(tt)) -> mark(tt)
active(U21(tt, V1)) -> mark(U22(isNat(V1)))
active(U22(tt)) -> mark(tt)
active(U31(tt, N)) -> mark(N)
active(U41(tt, M, N)) -> mark(s(plus(N, M)))
active(and(tt, X)) -> mark(X)
active(isNat(0')) -> mark(tt)
active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
active(isNatKind(0')) -> mark(tt)
active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
active(isNatKind(s(V1))) -> mark(isNatKind(V1))
active(plus(N, 0')) -> mark(U31(and(isNat(N), isNatKind(N)), N))
active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
mark(tt) -> active(tt)
mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
mark(isNat(X)) -> active(isNat(X))
mark(U13(X)) -> active(U13(mark(X)))
mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
mark(U22(X)) -> active(U22(mark(X)))
mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
mark(s(X)) -> active(s(mark(X)))
mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
mark(and(X1, X2)) -> active(and(mark(X1), X2))
mark(0') -> active(0')
mark(isNatKind(X)) -> active(isNatKind(X))
U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
U11(active(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, active(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
U12(mark(X1), X2) -> U12(X1, X2)
U12(X1, mark(X2)) -> U12(X1, X2)
U12(active(X1), X2) -> U12(X1, X2)
U12(X1, active(X2)) -> U12(X1, X2)
isNat(mark(X)) -> isNat(X)
isNat(active(X)) -> isNat(X)
U13(mark(X)) -> U13(X)
U13(active(X)) -> U13(X)
U21(mark(X1), X2) -> U21(X1, X2)
U21(X1, mark(X2)) -> U21(X1, X2)
U21(active(X1), X2) -> U21(X1, X2)
U21(X1, active(X2)) -> U21(X1, X2)
U22(mark(X)) -> U22(X)
U22(active(X)) -> U22(X)
U31(mark(X1), X2) -> U31(X1, X2)
U31(X1, mark(X2)) -> U31(X1, X2)
U31(active(X1), X2) -> U31(X1, X2)
U31(X1, active(X2)) -> U31(X1, X2)
U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
U41(active(X1), X2, X3) -> U41(X1, X2, X3)
U41(X1, active(X2), X3) -> U41(X1, X2, X3)
U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
plus(mark(X1), X2) -> plus(X1, X2)
plus(X1, mark(X2)) -> plus(X1, X2)
plus(active(X1), X2) -> plus(X1, X2)
plus(X1, active(X2)) -> plus(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)
isNatKind(mark(X)) -> isNatKind(X)
isNatKind(active(X)) -> isNatKind(X)
encArg(tt) -> tt
encArg(0') -> 0'
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
encArg(cons_U13(x_1)) -> U13(encArg(x_1))
encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
encArg(cons_U22(x_1)) -> U22(encArg(x_1))
encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
encode_active(x_1) -> active(encArg(x_1))
encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encode_tt -> tt
encode_mark(x_1) -> mark(encArg(x_1))
encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
encode_isNat(x_1) -> isNat(encArg(x_1))
encode_U13(x_1) -> U13(encArg(x_1))
encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
encode_U22(x_1) -> U22(encArg(x_1))
encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
encode_s(x_1) -> s(encArg(x_1))
encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
encode_0 -> 0'
encode_isNatKind(x_1) -> isNatKind(encArg(x_1))

Types:
active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U13 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
and :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
0' :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
isNatKind :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encArg :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U13 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_and :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_isNatKind :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_isNat :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U13 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U31 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U41 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_and :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_0 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_isNatKind :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
hole_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind1_4 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind2_4 :: Nat -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind


Generator Equations:
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind2_4(0) <=> tt
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind2_4(+(x, 1)) <=> cons_active(gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind2_4(x))


The following defined symbols remain to be analysed:
U12, active, mark, isNat, U13, U22, s, plus, U11, and, isNatKind, U21, U31, U41, encArg

They will be analysed ascendingly in the following order:
active = mark
U12 < active
isNat < active
U13 < active
U22 < active
s < active
plus < active
U11 < active
and < active
isNatKind < active
U21 < active
U31 < active
U41 < active
active < encArg
U12 < mark
isNat < mark
U13 < mark
U22 < mark
s < mark
plus < mark
U11 < mark
and < mark
isNatKind < mark
U21 < mark
U31 < mark
U41 < mark
mark < encArg
U12 < encArg
isNat < encArg
U13 < encArg
U22 < encArg
s < encArg
plus < encArg
U11 < encArg
and < encArg
isNatKind < encArg
U21 < encArg
U31 < encArg
U41 < encArg

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

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

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

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


The TRS R consists of the following rules:

   active(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
   active(U12(tt, V2)) -> mark(U13(isNat(V2)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, V1)) -> mark(U22(isNat(V1)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, N)) -> mark(N)
   active(U41(tt, M, N)) -> mark(s(plus(N, M)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
   active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
   active(isNatKind(s(V1))) -> mark(isNatKind(V1))
   active(plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N))
   active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(U13(X)) -> active(U13(mark(X)))
   mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
   mark(U22(X)) -> active(U22(mark(X)))
   mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
   mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(0) -> active(0)
   mark(isNatKind(X)) -> active(isNatKind(X))
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2) -> U12(X1, X2)
   U12(X1, mark(X2)) -> U12(X1, X2)
   U12(active(X1), X2) -> U12(X1, X2)
   U12(X1, active(X2)) -> U12(X1, X2)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   U13(mark(X)) -> U13(X)
   U13(active(X)) -> U13(X)
   U21(mark(X1), X2) -> U21(X1, X2)
   U21(X1, mark(X2)) -> U21(X1, X2)
   U21(active(X1), X2) -> U21(X1, X2)
   U21(X1, active(X2)) -> U21(X1, X2)
   U22(mark(X)) -> U22(X)
   U22(active(X)) -> U22(X)
   U31(mark(X1), X2) -> U31(X1, X2)
   U31(X1, mark(X2)) -> U31(X1, X2)
   U31(active(X1), X2) -> U31(X1, X2)
   U31(X1, active(X2)) -> U31(X1, X2)
   U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
   U41(active(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, active(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(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)
   isNatKind(mark(X)) -> isNatKind(X)
   isNatKind(active(X)) -> isNatKind(X)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_U13(x_1)) -> U13(encArg(x_1))
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
   encArg(cons_U22(x_1)) -> U22(encArg(x_1))
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_U13(x_1) -> U13(encArg(x_1))
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
   encode_U22(x_1) -> U22(encArg(x_1))
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   active(U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
   active(U12(tt, V2)) -> mark(U13(isNat(V2)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, V1)) -> mark(U22(isNat(V1)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, N)) -> mark(N)
   active(U41(tt, M, N)) -> mark(s(plus(N, M)))
   active(and(tt, X)) -> mark(X)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
   active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
   active(isNatKind(s(V1))) -> mark(isNatKind(V1))
   active(plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N))
   active(plus(N, s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2)) -> active(U12(mark(X1), X2))
   mark(isNat(X)) -> active(isNat(X))
   mark(U13(X)) -> active(U13(mark(X)))
   mark(U21(X1, X2)) -> active(U21(mark(X1), X2))
   mark(U22(X)) -> active(U22(mark(X)))
   mark(U31(X1, X2)) -> active(U31(mark(X1), X2))
   mark(U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(and(X1, X2)) -> active(and(mark(X1), X2))
   mark(0) -> active(0)
   mark(isNatKind(X)) -> active(isNatKind(X))
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2) -> U12(X1, X2)
   U12(X1, mark(X2)) -> U12(X1, X2)
   U12(active(X1), X2) -> U12(X1, X2)
   U12(X1, active(X2)) -> U12(X1, X2)
   isNat(mark(X)) -> isNat(X)
   isNat(active(X)) -> isNat(X)
   U13(mark(X)) -> U13(X)
   U13(active(X)) -> U13(X)
   U21(mark(X1), X2) -> U21(X1, X2)
   U21(X1, mark(X2)) -> U21(X1, X2)
   U21(active(X1), X2) -> U21(X1, X2)
   U21(X1, active(X2)) -> U21(X1, X2)
   U22(mark(X)) -> U22(X)
   U22(active(X)) -> U22(X)
   U31(mark(X1), X2) -> U31(X1, X2)
   U31(X1, mark(X2)) -> U31(X1, X2)
   U31(active(X1), X2) -> U31(X1, X2)
   U31(X1, active(X2)) -> U31(X1, X2)
   U41(mark(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, mark(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, mark(X3)) -> U41(X1, X2, X3)
   U41(active(X1), X2, X3) -> U41(X1, X2, X3)
   U41(X1, active(X2), X3) -> U41(X1, X2, X3)
   U41(X1, X2, active(X3)) -> U41(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(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)
   isNatKind(mark(X)) -> isNatKind(X)
   isNatKind(active(X)) -> isNatKind(X)
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_U13(x_1)) -> U13(encArg(x_1))
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
   encArg(cons_U22(x_1)) -> U22(encArg(x_1))
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_U13(x_1) -> U13(encArg(x_1))
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
   encode_U22(x_1) -> U22(encArg(x_1))
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_isNatKind(x_1) -> isNatKind(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:

   mark(tt) -> active(tt)
   mark(0) -> active(0)
   mark(c_U22(X)) -> active(U22(mark(X)))
   active(c_isNatKind(0)) -> mark(tt)
   U31(X1, c_active(X2)) -> U31(X1, X2)
   mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2))
   active(c_plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N))
   isNat(c_active(X)) -> isNat(X)
   active(c_U21(tt, V1)) -> mark(U22(isNat(V1)))
   mark(c_isNatKind(X)) -> active(isNatKind(X))
   active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1))
   U21(X1, c_active(X2)) -> U21(X1, X2)
   U13(c_mark(X)) -> U13(X)
   U22(c_active(X)) -> U22(X)
   U21(c_active(X1), X2) -> U21(X1, X2)
   U41(c_active(X1), X2, X3) -> U41(X1, X2, X3)
   U12(c_mark(X1), X2) -> U12(X1, X2)
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3)
   U22(c_mark(X)) -> U22(X)
   U31(c_active(X1), X2) -> U31(X1, X2)
   U41(X1, X2, c_mark(X3)) -> U41(X1, X2, X3)
   U21(X1, c_mark(X2)) -> U21(X1, X2)
   active(c_isNat(c_plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2))
   U12(X1, c_mark(X2)) -> U12(X1, X2)
   U31(X1, c_mark(X2)) -> U31(X1, X2)
   mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2))
   U41(c_mark(X1), X2, X3) -> U41(X1, X2, X3)
   active(c_U22(tt)) -> mark(tt)
   active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2))
   U13(c_active(X)) -> U13(X)
   U41(X1, c_active(X2), X3) -> U41(X1, X2, X3)
   U41(X1, c_mark(X2), X3) -> U41(X1, X2, X3)
   active(c_U13(tt)) -> mark(tt)
   U31(c_mark(X1), X2) -> U31(X1, X2)
   isNat(c_mark(X)) -> isNat(X)
   active(c_isNat(0)) -> mark(tt)
   plus(X1, c_mark(X2)) -> plus(X1, X2)
   active(c_U41(tt, M, N)) -> mark(s(plus(N, M)))
   active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2)))
   plus(c_active(X1), X2) -> plus(X1, X2)
   mark(c_s(X)) -> active(s(mark(X)))
   U41(X1, X2, c_active(X3)) -> U41(X1, X2, X3)
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3)
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3)
   s(c_active(X)) -> s(X)
   and(c_active(X1), X2) -> and(X1, X2)
   isNatKind(c_mark(X)) -> isNatKind(X)
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2))
   active(c_U12(tt, V2)) -> mark(U13(isNat(V2)))
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3)
   U12(X1, c_active(X2)) -> U12(X1, X2)
   U21(c_mark(X1), X2) -> U21(X1, X2)
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   s(c_mark(X)) -> s(X)
   active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1))
   mark(c_U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3))
   plus(c_mark(X1), X2) -> plus(X1, X2)
   active(c_plus(N, c_s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N))
   isNatKind(c_active(X)) -> isNatKind(X)
   active(c_and(tt, X)) -> mark(X)
   U12(c_active(X1), X2) -> U12(X1, X2)
   active(c_U31(tt, N)) -> mark(N)
   mark(c_U13(X)) -> active(U13(mark(X)))
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3)
   mark(c_isNat(X)) -> active(isNat(X))
   and(X1, c_mark(X2)) -> and(X1, X2)
   and(c_mark(X1), X2) -> and(X1, X2)
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3)
   mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2))
   plus(X1, c_active(X2)) -> plus(X1, X2)
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   and(X1, c_active(X2)) -> and(X1, X2)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2))
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1))
   encArg(cons_U13(x_1)) -> U13(encArg(x_1))
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2))
   encArg(cons_U22(x_1)) -> U22(encArg(x_1))
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2))
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2))
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2))
   encode_isNat(x_1) -> isNat(encArg(x_1))
   encode_U13(x_1) -> U13(encArg(x_1))
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2))
   encode_U22(x_1) -> U22(encArg(x_1))
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2))
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1))
   isNat(x0) -> c_isNat(x0)
   plus(x0, x1) -> c_plus(x0, x1)
   U12(x0, x1) -> c_U12(x0, x1)
   U31(x0, x1) -> c_U31(x0, x1)
   U21(x0, x1) -> c_U21(x0, x1)
   and(x0, x1) -> c_and(x0, x1)
   U11(x0, x1, x2) -> c_U11(x0, x1, x2)
   s(x0) -> c_s(x0)
   active(x0) -> c_active(x0)
   U41(x0, x1, x2) -> c_U41(x0, x1, x2)
   isNatKind(x0) -> c_isNatKind(x0)
   U22(x0) -> c_U22(x0)
   U13(x0) -> c_U13(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:

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(c_U22(X)) -> active(U22(mark(X))) [1]
   active(c_isNatKind(0)) -> mark(tt) [1]
   U31(X1, c_active(X2)) -> U31(X1, X2) [1]
   mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1]
   active(c_plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N)) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1]
   mark(c_isNatKind(X)) -> active(isNatKind(X)) [1]
   active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1]
   U21(X1, c_active(X2)) -> U21(X1, X2) [1]
   U13(c_mark(X)) -> U13(X) [1]
   U22(c_active(X)) -> U22(X) [1]
   U21(c_active(X1), X2) -> U21(X1, X2) [1]
   U41(c_active(X1), X2, X3) -> U41(X1, X2, X3) [1]
   U12(c_mark(X1), X2) -> U12(X1, X2) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   U22(c_mark(X)) -> U22(X) [1]
   U31(c_active(X1), X2) -> U31(X1, X2) [1]
   U41(X1, X2, c_mark(X3)) -> U41(X1, X2, X3) [1]
   U21(X1, c_mark(X2)) -> U21(X1, X2) [1]
   active(c_isNat(c_plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1]
   U12(X1, c_mark(X2)) -> U12(X1, X2) [1]
   U31(X1, c_mark(X2)) -> U31(X1, X2) [1]
   mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1]
   U41(c_mark(X1), X2, X3) -> U41(X1, X2, X3) [1]
   active(c_U22(tt)) -> mark(tt) [1]
   active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1]
   U13(c_active(X)) -> U13(X) [1]
   U41(X1, c_active(X2), X3) -> U41(X1, X2, X3) [1]
   U41(X1, c_mark(X2), X3) -> U41(X1, X2, X3) [1]
   active(c_U13(tt)) -> mark(tt) [1]
   U31(c_mark(X1), X2) -> U31(X1, X2) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_U41(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U41(X1, X2, c_active(X3)) -> U41(X1, X2, X3) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   isNatKind(c_mark(X)) -> isNatKind(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(X1, c_active(X2)) -> U12(X1, X2) [1]
   U21(c_mark(X1), X2) -> U21(X1, X2) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   s(c_mark(X)) -> s(X) [1]
   active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1]
   mark(c_U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3)) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   active(c_plus(N, c_s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1]
   isNatKind(c_active(X)) -> isNatKind(X) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   U12(c_active(X1), X2) -> U12(X1, X2) [1]
   active(c_U31(tt, N)) -> mark(N) [1]
   mark(c_U13(X)) -> active(U13(mark(X))) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_U13(x_1)) -> U13(encArg(x_1)) [0]
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U22(x_1)) -> U22(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_U13(x_1) -> U13(encArg(x_1)) [0]
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2)) [0]
   encode_U22(x_1) -> U22(encArg(x_1)) [0]
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0]
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1)) [0]
   isNat(x0) -> c_isNat(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1) -> c_U12(x0, x1) [0]
   U31(x0, x1) -> c_U31(x0, x1) [0]
   U21(x0, x1) -> c_U21(x0, x1) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   U41(x0, x1, x2) -> c_U41(x0, x1, x2) [0]
   isNatKind(x0) -> c_isNatKind(x0) [0]
   U22(x0) -> c_U22(x0) [0]
   U13(x0) -> c_U13(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:

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(c_U22(X)) -> active(U22(mark(X))) [1]
   active(c_isNatKind(0)) -> mark(tt) [1]
   U31(X1, c_active(X2)) -> U31(X1, X2) [1]
   mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1]
   active(c_plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N)) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1]
   mark(c_isNatKind(X)) -> active(isNatKind(X)) [1]
   active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1]
   U21(X1, c_active(X2)) -> U21(X1, X2) [1]
   U13(c_mark(X)) -> U13(X) [1]
   U22(c_active(X)) -> U22(X) [1]
   U21(c_active(X1), X2) -> U21(X1, X2) [1]
   U41(c_active(X1), X2, X3) -> U41(X1, X2, X3) [1]
   U12(c_mark(X1), X2) -> U12(X1, X2) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   U22(c_mark(X)) -> U22(X) [1]
   U31(c_active(X1), X2) -> U31(X1, X2) [1]
   U41(X1, X2, c_mark(X3)) -> U41(X1, X2, X3) [1]
   U21(X1, c_mark(X2)) -> U21(X1, X2) [1]
   active(c_isNat(c_plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1]
   U12(X1, c_mark(X2)) -> U12(X1, X2) [1]
   U31(X1, c_mark(X2)) -> U31(X1, X2) [1]
   mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1]
   U41(c_mark(X1), X2, X3) -> U41(X1, X2, X3) [1]
   active(c_U22(tt)) -> mark(tt) [1]
   active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1]
   U13(c_active(X)) -> U13(X) [1]
   U41(X1, c_active(X2), X3) -> U41(X1, X2, X3) [1]
   U41(X1, c_mark(X2), X3) -> U41(X1, X2, X3) [1]
   active(c_U13(tt)) -> mark(tt) [1]
   U31(c_mark(X1), X2) -> U31(X1, X2) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_U41(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U41(X1, X2, c_active(X3)) -> U41(X1, X2, X3) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   isNatKind(c_mark(X)) -> isNatKind(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(X1, c_active(X2)) -> U12(X1, X2) [1]
   U21(c_mark(X1), X2) -> U21(X1, X2) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   s(c_mark(X)) -> s(X) [1]
   active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1]
   mark(c_U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3)) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   active(c_plus(N, c_s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1]
   isNatKind(c_active(X)) -> isNatKind(X) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   U12(c_active(X1), X2) -> U12(X1, X2) [1]
   active(c_U31(tt, N)) -> mark(N) [1]
   mark(c_U13(X)) -> active(U13(mark(X))) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_U13(x_1)) -> U13(encArg(x_1)) [0]
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U22(x_1)) -> U22(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_U13(x_1) -> U13(encArg(x_1)) [0]
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2)) [0]
   encode_U22(x_1) -> U22(encArg(x_1)) [0]
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0]
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1)) [0]
   isNat(x0) -> c_isNat(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1) -> c_U12(x0, x1) [0]
   U31(x0, x1) -> c_U31(x0, x1) [0]
   U21(x0, x1) -> c_U21(x0, x1) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   U41(x0, x1, x2) -> c_U41(x0, x1, x2) [0]
   isNatKind(x0) -> c_isNatKind(x0) [0]
   U22(x0) -> c_U22(x0) [0]
   U13(x0) -> c_U13(x0) [0]
   mark(x0) -> c_mark(x0) [0]

The TRS has the following type information:
mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
c_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encArg :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
cons_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind
encode_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind

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

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

   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1) -> null_encode_U12 [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_U13(v0) -> null_encode_U13 [0]
   encode_U21(v0, v1) -> null_encode_U21 [0]
   encode_U22(v0) -> null_encode_U22 [0]
   encode_U31(v0, v1) -> null_encode_U31 [0]
   encode_U41(v0, v1, v2) -> null_encode_U41 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_0 -> null_encode_0 [0]
   encode_isNatKind(v0) -> null_encode_isNatKind [0]
   isNat(v0) -> null_isNat [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1) -> null_U12 [0]
   U31(v0, v1) -> null_U31 [0]
   U21(v0, v1) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1, v2) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   U41(v0, v1, v2) -> null_U41 [0]
   isNatKind(v0) -> null_isNatKind [0]
   U22(v0) -> null_U22 [0]
   U13(v0) -> null_U13 [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_U11, null_encode_tt, null_encode_mark, null_encode_U12, null_encode_isNat, null_encode_U13, null_encode_U21, null_encode_U22, null_encode_U31, null_encode_U41, null_encode_s, null_encode_plus, null_encode_and, null_encode_0, null_encode_isNatKind, null_isNat, null_plus, null_U12, null_U31, null_U21, null_and, null_U11, null_s, null_active, null_U41, null_isNatKind, null_U22, null_U13, null_mark

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

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

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

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(c_U22(X)) -> active(U22(mark(X))) [1]
   active(c_isNatKind(0)) -> mark(tt) [1]
   U31(X1, c_active(X2)) -> U31(X1, X2) [1]
   mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1]
   active(c_plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N)) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1]
   mark(c_isNatKind(X)) -> active(isNatKind(X)) [1]
   active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1]
   U21(X1, c_active(X2)) -> U21(X1, X2) [1]
   U13(c_mark(X)) -> U13(X) [1]
   U22(c_active(X)) -> U22(X) [1]
   U21(c_active(X1), X2) -> U21(X1, X2) [1]
   U41(c_active(X1), X2, X3) -> U41(X1, X2, X3) [1]
   U12(c_mark(X1), X2) -> U12(X1, X2) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   U22(c_mark(X)) -> U22(X) [1]
   U31(c_active(X1), X2) -> U31(X1, X2) [1]
   U41(X1, X2, c_mark(X3)) -> U41(X1, X2, X3) [1]
   U21(X1, c_mark(X2)) -> U21(X1, X2) [1]
   active(c_isNat(c_plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1]
   U12(X1, c_mark(X2)) -> U12(X1, X2) [1]
   U31(X1, c_mark(X2)) -> U31(X1, X2) [1]
   mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1]
   U41(c_mark(X1), X2, X3) -> U41(X1, X2, X3) [1]
   active(c_U22(tt)) -> mark(tt) [1]
   active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1]
   U13(c_active(X)) -> U13(X) [1]
   U41(X1, c_active(X2), X3) -> U41(X1, X2, X3) [1]
   U41(X1, c_mark(X2), X3) -> U41(X1, X2, X3) [1]
   active(c_U13(tt)) -> mark(tt) [1]
   U31(c_mark(X1), X2) -> U31(X1, X2) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_U41(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U41(X1, X2, c_active(X3)) -> U41(X1, X2, X3) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   isNatKind(c_mark(X)) -> isNatKind(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(X1, c_active(X2)) -> U12(X1, X2) [1]
   U21(c_mark(X1), X2) -> U21(X1, X2) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   s(c_mark(X)) -> s(X) [1]
   active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1]
   mark(c_U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3)) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   active(c_plus(N, c_s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1]
   isNatKind(c_active(X)) -> isNatKind(X) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   U12(c_active(X1), X2) -> U12(X1, X2) [1]
   active(c_U31(tt, N)) -> mark(N) [1]
   mark(c_U13(X)) -> active(U13(mark(X))) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_U13(x_1)) -> U13(encArg(x_1)) [0]
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U22(x_1)) -> U22(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_U13(x_1) -> U13(encArg(x_1)) [0]
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2)) [0]
   encode_U22(x_1) -> U22(encArg(x_1)) [0]
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0]
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1)) [0]
   isNat(x0) -> c_isNat(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1) -> c_U12(x0, x1) [0]
   U31(x0, x1) -> c_U31(x0, x1) [0]
   U21(x0, x1) -> c_U21(x0, x1) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   U41(x0, x1, x2) -> c_U41(x0, x1, x2) [0]
   isNatKind(x0) -> c_isNatKind(x0) [0]
   U22(x0) -> c_U22(x0) [0]
   U13(x0) -> c_U13(x0) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1) -> null_encode_U12 [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_U13(v0) -> null_encode_U13 [0]
   encode_U21(v0, v1) -> null_encode_U21 [0]
   encode_U22(v0) -> null_encode_U22 [0]
   encode_U31(v0, v1) -> null_encode_U31 [0]
   encode_U41(v0, v1, v2) -> null_encode_U41 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_0 -> null_encode_0 [0]
   encode_isNatKind(v0) -> null_encode_isNatKind [0]
   isNat(v0) -> null_isNat [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1) -> null_U12 [0]
   U31(v0, v1) -> null_U31 [0]
   U21(v0, v1) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1, v2) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   U41(v0, v1, v2) -> null_U41 [0]
   isNatKind(v0) -> null_isNatKind [0]
   U22(v0) -> null_U22 [0]
   U13(v0) -> null_U13 [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encArg :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encArg :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark

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

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

   tt => 1
   0 => 0
   null_encArg => 0
   null_encode_active => 0
   null_encode_U11 => 0
   null_encode_tt => 0
   null_encode_mark => 0
   null_encode_U12 => 0
   null_encode_isNat => 0
   null_encode_U13 => 0
   null_encode_U21 => 0
   null_encode_U22 => 0
   null_encode_U31 => 0
   null_encode_U41 => 0
   null_encode_s => 0
   null_encode_plus => 0
   null_encode_and => 0
   null_encode_0 => 0
   null_encode_isNatKind => 0
   null_isNat => 0
   null_plus => 0
   null_U12 => 0
   null_U31 => 0
   null_U21 => 0
   null_and => 0
   null_U11 => 0
   null_s => 0
   null_active => 0
   null_U41 => 0
   null_isNatKind => 0
   null_U22 => 0
   null_U13 => 0
   null_mark => 0

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

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

   U11(z, z', z'') -{ 1 }-> U11(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   U11(z, z', z'') -{ 1 }-> U11(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   U11(z, z', z'') -{ 1 }-> U11(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   U11(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   U11(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   U12(z, z') -{ 1 }-> U12(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   U12(z, z') -{ 1 }-> U12(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   U12(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   U12(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   U13(z) -{ 1 }-> U13(X) :|: z = 1 + X, X >= 0
   U13(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   U13(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   U21(z, z') -{ 1 }-> U21(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   U21(z, z') -{ 1 }-> U21(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   U21(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   U21(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   U22(z) -{ 1 }-> U22(X) :|: z = 1 + X, X >= 0
   U22(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   U22(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   U31(z, z') -{ 1 }-> U31(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   U31(z, z') -{ 1 }-> U31(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   U31(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   U41(z, z', z'') -{ 1 }-> U41(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   U41(z, z', z'') -{ 1 }-> U41(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   U41(z, z', z'') -{ 1 }-> U41(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   U41(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   U41(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   active(z) -{ 1 }-> mark(N) :|: z = 1 + 1 + N, N >= 0
   active(z) -{ 1 }-> mark(X) :|: z = 1 + 1 + X, X >= 0
   active(z) -{ 1 }-> mark(s(plus(N, M))) :|: z = 1 + 1 + M + N, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(isNatKind(V1)) :|: V1 >= 0, z = 1 + (1 + V1)
   active(z) -{ 1 }-> mark(and(isNatKind(V1), isNatKind(V2))) :|: V1 >= 0, V2 >= 0, z = 1 + (1 + V1 + V2)
   active(z) -{ 1 }-> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) :|: M >= 0, z = 1 + N + (1 + M), N >= 0
   active(z) -{ 1 }-> mark(U31(and(isNat(N), isNatKind(N)), N)) :|: z = 1 + N + 0, N >= 0
   active(z) -{ 1 }-> mark(U22(isNat(V1))) :|: z = 1 + 1 + V1, V1 >= 0
   active(z) -{ 1 }-> mark(U21(isNatKind(V1), V1)) :|: V1 >= 0, z = 1 + (1 + V1)
   active(z) -{ 1 }-> mark(U13(isNat(V2))) :|: z = 1 + 1 + V2, V2 >= 0
   active(z) -{ 1 }-> mark(U12(isNat(V1), V2)) :|: z = 1 + 1 + V1 + V2, V1 >= 0, V2 >= 0
   active(z) -{ 1 }-> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)) :|: V1 >= 0, V2 >= 0, z = 1 + (1 + V1 + V2)
   active(z) -{ 1 }-> mark(1) :|: z = 1 + 0
   active(z) -{ 1 }-> mark(1) :|: 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
   encArg(z) -{ 0 }-> s(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> plus(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> mark(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> isNatKind(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 }-> 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 }-> U41(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, z = 1 + x_1 + x_2 + x_3, x_3 >= 0, x_2 >= 0
   encArg(z) -{ 0 }-> U31(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> U22(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> U21(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> U13(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> U12(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> U11(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, z = 1 + x_1 + x_2 + x_3, x_3 >= 0, x_2 >= 0
   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', z'') -{ 0 }-> U11(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, x_3 >= 0, x_2 >= 0, z = x_1, z' = x_2, z'' = x_3
   encode_U11(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   encode_U12(z, z') -{ 0 }-> U12(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_U12(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_U13(z) -{ 0 }-> U13(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_U13(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_U21(z, z') -{ 0 }-> U21(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_U21(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_U22(z) -{ 0 }-> U22(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_U22(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_U31(z, z') -{ 0 }-> U31(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_U31(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_U41(z, z', z'') -{ 0 }-> U41(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, x_3 >= 0, x_2 >= 0, z = x_1, z' = x_2, z'' = x_3
   encode_U41(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 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_isNat(z) -{ 0 }-> isNat(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_isNat(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_isNatKind(z) -{ 0 }-> isNatKind(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_isNatKind(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_plus(z, z') -{ 0 }-> plus(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_plus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_s(z) -{ 0 }-> s(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_tt -{ 0 }-> 1 :|: 
   encode_tt -{ 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
   isNatKind(z) -{ 1 }-> isNatKind(X) :|: z = 1 + X, X >= 0
   isNatKind(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   isNatKind(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   mark(z) -{ 1 }-> active(s(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(plus(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(isNatKind(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(isNat(X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(and(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(U41(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 1 }-> active(U31(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(U22(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(U21(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(U13(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(U12(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(U11(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   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
   plus(z, z') -{ 1 }-> plus(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   plus(z, z') -{ 1 }-> plus(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   plus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   plus(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   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

Only complete derivations are relevant for the runtime complexity.

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_active_1
   encode_U11_3
   encode_tt
   encode_mark_1
   encode_U12_2
   encode_isNat_1
   encode_U13_1
   encode_U21_2
   encode_U22_1
   encode_U31_2
   encode_U41_3
   encode_s_1
   encode_plus_2
   encode_and_2
   encode_0
   encode_isNatKind_1
   isNat_1
   plus_2
   U12_2
   U31_2
   U21_2
   and_2
   U11_3
   s_1
   active_1
   U41_3
   isNatKind_1
   U22_1
   U13_1
   mark_1

Due to the following rules being added:

   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1) -> null_encode_U12 [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_U13(v0) -> null_encode_U13 [0]
   encode_U21(v0, v1) -> null_encode_U21 [0]
   encode_U22(v0) -> null_encode_U22 [0]
   encode_U31(v0, v1) -> null_encode_U31 [0]
   encode_U41(v0, v1, v2) -> null_encode_U41 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_0 -> null_encode_0 [0]
   encode_isNatKind(v0) -> null_encode_isNatKind [0]
   isNat(v0) -> null_isNat [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1) -> null_U12 [0]
   U31(v0, v1) -> null_U31 [0]
   U21(v0, v1) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1, v2) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   U41(v0, v1, v2) -> null_U41 [0]
   isNatKind(v0) -> null_isNatKind [0]
   U22(v0) -> null_U22 [0]
   U13(v0) -> null_U13 [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_U11, null_encode_tt, null_encode_mark, null_encode_U12, null_encode_isNat, null_encode_U13, null_encode_U21, null_encode_U22, null_encode_U31, null_encode_U41, null_encode_s, null_encode_plus, null_encode_and, null_encode_0, null_encode_isNatKind, null_isNat, null_plus, null_U12, null_U31, null_U21, null_and, null_U11, null_s, null_active, null_U41, null_isNatKind, null_U22, null_U13, null_mark

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

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

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

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   mark(c_U22(X)) -> active(U22(mark(X))) [1]
   active(c_isNatKind(0)) -> mark(tt) [1]
   U31(X1, c_active(X2)) -> U31(X1, X2) [1]
   mark(c_U31(X1, X2)) -> active(U31(mark(X1), X2)) [1]
   active(c_plus(N, 0)) -> mark(U31(and(isNat(N), isNatKind(N)), N)) [1]
   isNat(c_active(X)) -> isNat(X) [1]
   active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1]
   mark(c_isNatKind(X)) -> active(isNatKind(X)) [1]
   active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1]
   U21(X1, c_active(X2)) -> U21(X1, X2) [1]
   U13(c_mark(X)) -> U13(X) [1]
   U22(c_active(X)) -> U22(X) [1]
   U21(c_active(X1), X2) -> U21(X1, X2) [1]
   U41(c_active(X1), X2, X3) -> U41(X1, X2, X3) [1]
   U12(c_mark(X1), X2) -> U12(X1, X2) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   U22(c_mark(X)) -> U22(X) [1]
   U31(c_active(X1), X2) -> U31(X1, X2) [1]
   U41(X1, X2, c_mark(X3)) -> U41(X1, X2, X3) [1]
   U21(X1, c_mark(X2)) -> U21(X1, X2) [1]
   active(c_isNat(c_plus(V1, V2))) -> mark(U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1]
   U12(X1, c_mark(X2)) -> U12(X1, X2) [1]
   U31(X1, c_mark(X2)) -> U31(X1, X2) [1]
   mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1]
   U41(c_mark(X1), X2, X3) -> U41(X1, X2, X3) [1]
   active(c_U22(tt)) -> mark(tt) [1]
   active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1]
   U13(c_active(X)) -> U13(X) [1]
   U41(X1, c_active(X2), X3) -> U41(X1, X2, X3) [1]
   U41(X1, c_mark(X2), X3) -> U41(X1, X2, X3) [1]
   active(c_U13(tt)) -> mark(tt) [1]
   U31(c_mark(X1), X2) -> U31(X1, X2) [1]
   isNat(c_mark(X)) -> isNat(X) [1]
   active(c_isNat(0)) -> mark(tt) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_U41(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U41(X1, X2, c_active(X3)) -> U41(X1, X2, X3) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   s(c_active(X)) -> s(X) [1]
   and(c_active(X1), X2) -> and(X1, X2) [1]
   isNatKind(c_mark(X)) -> isNatKind(X) [1]
   mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1]
   active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(X1, c_active(X2)) -> U12(X1, X2) [1]
   U21(c_mark(X1), X2) -> U21(X1, X2) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   s(c_mark(X)) -> s(X) [1]
   active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1]
   mark(c_U41(X1, X2, X3)) -> active(U41(mark(X1), X2, X3)) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   active(c_plus(N, c_s(M))) -> mark(U41(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1]
   isNatKind(c_active(X)) -> isNatKind(X) [1]
   active(c_and(tt, X)) -> mark(X) [1]
   U12(c_active(X1), X2) -> U12(X1, X2) [1]
   active(c_U31(tt, N)) -> mark(N) [1]
   mark(c_U13(X)) -> active(U13(mark(X))) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   mark(c_isNat(X)) -> active(isNat(X)) [1]
   and(X1, c_mark(X2)) -> and(X1, X2) [1]
   and(c_mark(X1), X2) -> and(X1, X2) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   and(X1, c_active(X2)) -> and(X1, X2) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2)) -> U12(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNat(x_1)) -> isNat(encArg(x_1)) [0]
   encArg(cons_U13(x_1)) -> U13(encArg(x_1)) [0]
   encArg(cons_U21(x_1, x_2)) -> U21(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U22(x_1)) -> U22(encArg(x_1)) [0]
   encArg(cons_U31(x_1, x_2)) -> U31(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U41(x_1, x_2, x_3)) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_isNatKind(x_1)) -> isNatKind(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2) -> U12(encArg(x_1), encArg(x_2)) [0]
   encode_isNat(x_1) -> isNat(encArg(x_1)) [0]
   encode_U13(x_1) -> U13(encArg(x_1)) [0]
   encode_U21(x_1, x_2) -> U21(encArg(x_1), encArg(x_2)) [0]
   encode_U22(x_1) -> U22(encArg(x_1)) [0]
   encode_U31(x_1, x_2) -> U31(encArg(x_1), encArg(x_2)) [0]
   encode_U41(x_1, x_2, x_3) -> U41(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_isNatKind(x_1) -> isNatKind(encArg(x_1)) [0]
   isNat(x0) -> c_isNat(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1) -> c_U12(x0, x1) [0]
   U31(x0, x1) -> c_U31(x0, x1) [0]
   U21(x0, x1) -> c_U21(x0, x1) [0]
   and(x0, x1) -> c_and(x0, x1) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   U41(x0, x1, x2) -> c_U41(x0, x1, x2) [0]
   isNatKind(x0) -> c_isNatKind(x0) [0]
   U22(x0) -> c_U22(x0) [0]
   U13(x0) -> c_U13(x0) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1) -> null_encode_U12 [0]
   encode_isNat(v0) -> null_encode_isNat [0]
   encode_U13(v0) -> null_encode_U13 [0]
   encode_U21(v0, v1) -> null_encode_U21 [0]
   encode_U22(v0) -> null_encode_U22 [0]
   encode_U31(v0, v1) -> null_encode_U31 [0]
   encode_U41(v0, v1, v2) -> null_encode_U41 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_and(v0, v1) -> null_encode_and [0]
   encode_0 -> null_encode_0 [0]
   encode_isNatKind(v0) -> null_encode_isNatKind [0]
   isNat(v0) -> null_isNat [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1) -> null_U12 [0]
   U31(v0, v1) -> null_U31 [0]
   U21(v0, v1) -> null_U21 [0]
   and(v0, v1) -> null_and [0]
   U11(v0, v1, v2) -> null_U11 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   U41(v0, v1, v2) -> null_U41 [0]
   isNatKind(v0) -> null_isNatKind [0]
   U22(v0) -> null_U22 [0]
   U13(v0) -> null_U13 [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
c_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encArg :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
cons_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
encode_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark -> tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encArg :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_tt :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_0 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_encode_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_isNat :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_plus :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U12 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U31 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U21 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_and :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U11 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_s :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_active :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U41 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_isNatKind :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U22 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_U13 :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark
null_mark :: tt:0:c_U22:c_isNatKind:c_active:c_U31:c_plus:c_U21:c_s:c_isNat:c_mark:c_U12:c_U11:c_U13:c_U41:c_and:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U41:cons_s:cons_plus:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U41:null_encode_s:null_encode_plus:null_encode_and:null_encode_0:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U21:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U13:null_mark

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

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

(28)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1) -> U12(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_U13(z0) -> U13(encArg(z0))
   encode_U21(z0, z1) -> U21(encArg(z0), encArg(z1))
   encode_U22(z0) -> U22(encArg(z0))
   encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1))
   encode_U41(z0, z1, z2) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_isNatKind(z0) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(tt) -> c
   ENCARG(0) -> c1
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c16(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c17(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_TT -> c18
   ENCODE_MARK(z0) -> c19(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_U12(z0, z1) -> c20(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNAT(z0) -> c21(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_U13(z0) -> c22(U13'(encArg(z0)), ENCARG(z0))
   ENCODE_U21(z0, z1) -> c23(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U22(z0) -> c24(U22'(encArg(z0)), ENCARG(z0))
   ENCODE_U31(z0, z1) -> c25(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U41(z0, z1, z2) -> c26(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_S(z0) -> c27(S(encArg(z0)), ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c28(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_AND(z0, z1) -> c29(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_0 -> c30
   ENCODE_ISNATKIND(z0) -> c31(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U11'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), U31'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U41'(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0), AND(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), AND(isNat(z1), isNatKind(z1)), ISNAT(z1), ISNATKIND(z1), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c49(ACTIVE(tt))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(0) -> c60(ACTIVE(0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U11'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), U31'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U41'(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0), AND(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), AND(isNat(z1), isNatKind(z1)), ISNAT(z1), ISNATKIND(z1), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c49(ACTIVE(tt))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(0) -> c60(ACTIVE(0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_2, encode_isNat_1, encode_U13_1, encode_U21_2, encode_U22_1, encode_U31_2, encode_U41_3, encode_s_1, encode_plus_2, encode_and_2, encode_0, encode_isNatKind_1

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_TT, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_0, ENCODE_ISNATKIND_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1

Compound Symbols:   c, c1, c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c16_2, c17_4, c18, c19_2, c20_3, c21_2, c22_2, c23_3, c24_2, c25_3, c26_4, c27_2, c28_3, c29_3, c30, c31_2, c32_3, c33_3, c34_1, c35_3, c36_1, c37_1, c38_3, c39_1, c40_1, c41_5, c42_3, c43_1, c44_4, c45_2, c46_5, c47_9, c48_3, c49_1, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c60_1, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1


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

(29) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(0) -> c1
   ENCODE_0 -> c30
   ENCARG(tt) -> c
   ENCODE_TT -> c18

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

(30)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1) -> U12(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_U13(z0) -> U13(encArg(z0))
   encode_U21(z0, z1) -> U21(encArg(z0), encArg(z1))
   encode_U22(z0) -> U22(encArg(z0))
   encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1))
   encode_U41(z0, z1, z2) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_isNatKind(z0) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c16(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c17(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_MARK(z0) -> c19(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_U12(z0, z1) -> c20(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNAT(z0) -> c21(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_U13(z0) -> c22(U13'(encArg(z0)), ENCARG(z0))
   ENCODE_U21(z0, z1) -> c23(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U22(z0) -> c24(U22'(encArg(z0)), ENCARG(z0))
   ENCODE_U31(z0, z1) -> c25(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U41(z0, z1, z2) -> c26(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_S(z0) -> c27(S(encArg(z0)), ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c28(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_AND(z0, z1) -> c29(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNATKIND(z0) -> c31(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U11'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), U31'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U41'(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0), AND(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), AND(isNat(z1), isNatKind(z1)), ISNAT(z1), ISNATKIND(z1), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c49(ACTIVE(tt))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(0) -> c60(ACTIVE(0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U11'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), U31'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U41'(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0), AND(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), AND(isNat(z1), isNatKind(z1)), ISNAT(z1), ISNATKIND(z1), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c49(ACTIVE(tt))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(0) -> c60(ACTIVE(0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_2, encode_isNat_1, encode_U13_1, encode_U21_2, encode_U22_1, encode_U31_2, encode_U41_3, encode_s_1, encode_plus_2, encode_and_2, encode_0, encode_isNatKind_1

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c16_2, c17_4, c19_2, c20_3, c21_2, c22_2, c23_3, c24_2, c25_3, c26_4, c27_2, c28_3, c29_3, c31_2, c32_3, c33_3, c34_1, c35_3, c36_1, c37_1, c38_3, c39_1, c40_1, c41_5, c42_3, c43_1, c44_4, c45_2, c46_5, c47_9, c48_3, c49_1, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c60_1, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1


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

(31) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 15 trailing tuple parts
----------------------------------------

(32)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1) -> U12(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_U13(z0) -> U13(encArg(z0))
   encode_U21(z0, z1) -> U21(encArg(z0), encArg(z1))
   encode_U22(z0) -> U22(encArg(z0))
   encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1))
   encode_U41(z0, z1, z2) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_isNatKind(z0) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c16(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c17(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_MARK(z0) -> c19(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_U12(z0, z1) -> c20(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNAT(z0) -> c21(ISNAT(encArg(z0)), ENCARG(z0))
   ENCODE_U13(z0) -> c22(U13'(encArg(z0)), ENCARG(z0))
   ENCODE_U21(z0, z1) -> c23(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U22(z0) -> c24(U22'(encArg(z0)), ENCARG(z0))
   ENCODE_U31(z0, z1) -> c25(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U41(z0, z1, z2) -> c26(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_S(z0) -> c27(S(encArg(z0)), ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c28(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_AND(z0, z1) -> c29(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ISNATKIND(z0) -> c31(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_2, encode_isNat_1, encode_U13_1, encode_U21_2, encode_U22_1, encode_U31_2, encode_U41_3, encode_s_1, encode_plus_2, encode_and_2, encode_0, encode_isNatKind_1

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c16_2, c17_4, c19_2, c20_3, c21_2, c22_2, c23_3, c24_2, c25_3, c26_4, c27_2, c28_3, c29_3, c31_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60


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

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

(34)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1) -> U12(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_U13(z0) -> U13(encArg(z0))
   encode_U21(z0, z1) -> U21(encArg(z0), encArg(z1))
   encode_U22(z0) -> U22(encArg(z0))
   encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1))
   encode_U41(z0, z1, z2) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_isNatKind(z0) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_U12(z0, z1) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1) -> c(ENCARG(z1))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_ISNAT(z0) -> c(ENCARG(z0))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U13(z0) -> c(ENCARG(z0))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1) -> c(ENCARG(z0))
   ENCODE_U21(z0, z1) -> c(ENCARG(z1))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U22(z0) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U31(z0, z1) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1) -> c(ENCARG(z1))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U41(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U41(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U41(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_PLUS(z0, z1) -> c(ENCARG(z0))
   ENCODE_PLUS(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_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCODE_ISNATKIND(z0) -> c(ENCARG(z0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_2, encode_isNat_1, encode_U13_1, encode_U21_2, encode_U22_1, encode_U31_2, encode_U41_3, encode_s_1, encode_plus_2, encode_and_2, encode_0, encode_isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1


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

(35) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 23 leading nodes:
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1) -> c(ENCARG(z1))
   ENCODE_ISNAT(z0) -> c(ENCARG(z0))
   ENCODE_U13(z0) -> c(ENCARG(z0))
   ENCODE_U21(z0, z1) -> c(ENCARG(z0))
   ENCODE_U21(z0, z1) -> c(ENCARG(z1))
   ENCODE_U22(z0) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1) -> c(ENCARG(z0))
   ENCODE_U31(z0, z1) -> c(ENCARG(z1))
   ENCODE_U41(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U41(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U41(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c(ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c(ENCARG(z1))
   ENCODE_AND(z0, z1) -> c(ENCARG(z0))
   ENCODE_AND(z0, z1) -> c(ENCARG(z1))
   ENCODE_ISNATKIND(z0) -> c(ENCARG(z0))

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1) -> U12(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_U13(z0) -> U13(encArg(z0))
   encode_U21(z0, z1) -> U21(encArg(z0), encArg(z1))
   encode_U22(z0) -> U22(encArg(z0))
   encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1))
   encode_U41(z0, z1, z2) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_isNatKind(z0) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_2, encode_isNat_1, encode_U13_1, encode_U21_2, encode_U22_1, encode_U31_2, encode_U41_3, encode_s_1, encode_plus_2, encode_and_2, encode_0, encode_isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, 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_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1) -> U12(encArg(z0), encArg(z1))
   encode_isNat(z0) -> isNat(encArg(z0))
   encode_U13(z0) -> U13(encArg(z0))
   encode_U21(z0, z1) -> U21(encArg(z0), encArg(z1))
   encode_U22(z0) -> U22(encArg(z0))
   encode_U31(z0, z1) -> U31(encArg(z0), encArg(z1))
   encode_U41(z0, z1, z2) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_and(z0, z1) -> and(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_isNatKind(z0) -> isNatKind(encArg(z0))

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1


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

(39) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_active(tt)) -> c2(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(tt)) -> c2(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2


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

(41) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_active(tt)) -> c2(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2


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

(43) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_mark(tt)) -> c3(MARK(tt), ENCARG(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0), ENCARG(0))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt), ENCARG(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0), ENCARG(0))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2


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

(45) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by 
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4


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

(49) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c5_3, c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U12(z0, z1)) -> c5(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3


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

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c6_2, c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNat(z0)) -> c6(ISNAT(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNat(tt)) -> c6(ISNAT(tt), ENCARG(tt))
   ENCARG(cons_isNat(0)) -> c6(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(tt)) -> c6(ISNAT(tt), ENCARG(tt))
   ENCARG(cons_isNat(0)) -> c6(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2


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

(57) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_isNat(0)) -> c6(ISNAT(0), ENCARG(0))
   ENCARG(cons_isNat(tt)) -> c6(ISNAT(tt), ENCARG(tt))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c7_2, c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U13(z0)) -> c7(U13'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_U13(tt)) -> c7(U13'(tt), ENCARG(tt))
   ENCARG(cons_U13(0)) -> c7(U13'(0), ENCARG(0))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(tt)) -> c7(U13'(tt), ENCARG(tt))
   ENCARG(cons_U13(0)) -> c7(U13'(0), ENCARG(0))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2


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

(61) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_U13(0)) -> c7(U13'(0), ENCARG(0))
   ENCARG(cons_U13(tt)) -> c7(U13'(tt), ENCARG(tt))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c8_3, c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U21(z0, z1)) -> c8(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3


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

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c9_2, c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2


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

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U22(z0)) -> c9(U22'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_U22(tt)) -> c9(U22'(tt), ENCARG(tt))
   ENCARG(cons_U22(0)) -> c9(U22'(0), ENCARG(0))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(tt)) -> c9(U22'(tt), ENCARG(tt))
   ENCARG(cons_U22(0)) -> c9(U22'(0), ENCARG(0))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2


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

(69) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_U22(tt)) -> c9(U22'(tt), ENCARG(tt))
   ENCARG(cons_U22(0)) -> c9(U22'(0), ENCARG(0))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c10_3, c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2


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(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U31(z0, z1)) -> c10(U31'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3


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

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c11_4, c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2


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(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U41(z0, z1, z2)) -> c11(U41'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by 
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4


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

(77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c12_2, c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3


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

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_s(z0)) -> c12(S(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_s(tt)) -> c12(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c12(S(0), ENCARG(0))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(tt)) -> c12(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c12(S(0), ENCARG(0))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2


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

(81) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_s(tt)) -> c12(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c12(S(0), ENCARG(0))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c13_3, c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2


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

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_plus(z0, z1)) -> c13(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3


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

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c14_3, c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2


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

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_and(z0, z1)) -> c14(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3


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

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0))
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1

Compound Symbols:   c15_2, c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2


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

(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_isNatKind(z0)) -> c15(ISNATKIND(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_isNatKind(tt)) -> c15(ISNATKIND(tt), ENCARG(tt))
   ENCARG(cons_isNatKind(0)) -> c15(ISNATKIND(0), ENCARG(0))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(tt)) -> c15(ISNATKIND(tt), ENCARG(tt))
   ENCARG(cons_isNatKind(0)) -> c15(ISNATKIND(0), ENCARG(0))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2


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

(93) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_isNatKind(tt)) -> c15(ISNATKIND(tt), ENCARG(tt))
   ENCARG(cons_isNatKind(0)) -> c15(ISNATKIND(0), ENCARG(0))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c48_3, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2


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

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) by 
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c50_3, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U12(z0, z1)) -> c50(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) by 
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c52_3, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1


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

(99) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U13(z0)) -> c52(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) by 
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c53_3, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3


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(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U21(z0, z1)) -> c53(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) by 
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c54_3, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1


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

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U22(z0)) -> c54(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) by 
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c55_3, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3


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

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U31(z0, z1)) -> c55(ACTIVE(U31(mark(z0), z1)), U31'(mark(z0), z1), MARK(z0)) by 
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c56_3, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1


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(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(mark(z0), z1, z2)), U41'(mark(z0), z1, z2), MARK(z0)) by 
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(s(z0)) -> c57(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c57_3, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1


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

(109) 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(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(z0)) -> c57(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(z0)) -> c57(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3


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

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c58_4, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(plus(z0, z1)) -> c58(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by 
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c59_3, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4


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

(115) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(and(z0, z1)) -> c59(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) by 
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) by 
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(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_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2))) by 
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNat(z0)) -> c(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U13(z0)) -> c(U11'(encArg(x0), encArg(x1), U13(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U22(z0)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U31(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U41(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_and(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNatKind(z0)) -> c(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNat(z0), x2) -> c(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U13(z0), x2) -> c(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0), x2) -> c(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U31(z0, z1), x2) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U41(z0, z1, z2), x2) -> c(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_and(z0, z1), x2) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNatKind(z0), x2) -> c(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNat(z0), x1, x2) -> c(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U13(z0), x1, x2) -> c(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0), x1, x2) -> c(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U31(z0, z1), x1, x2) -> c(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U41(z0, z1, z2), x1, x2) -> c(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_and(z0, z1), x1, x2) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNatKind(z0), x1, x2) -> c(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(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_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNat(z0)) -> c(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U13(z0)) -> c(U11'(encArg(x0), encArg(x1), U13(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U22(z0)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U31(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U41(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_and(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNatKind(z0)) -> c(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNat(z0), x2) -> c(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U13(z0), x2) -> c(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0), x2) -> c(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U31(z0, z1), x2) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U41(z0, z1, z2), x2) -> c(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_and(z0, z1), x2) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNatKind(z0), x2) -> c(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNat(z0), x1, x2) -> c(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U13(z0), x1, x2) -> c(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0), x1, x2) -> c(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U31(z0, z1), x1, x2) -> c(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U41(z0, z1, z2), x1, x2) -> c(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_and(z0, z1), x1, x2) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNatKind(z0), x1, x2) -> c(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(123) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_MARK(z0) -> c(MARK(encArg(z0))) by 
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1)) -> c(MARK(U12(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_U13(z0)) -> c(MARK(U13(encArg(z0))))
   ENCODE_MARK(cons_U21(z0, z1)) -> c(MARK(U21(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U22(z0)) -> c(MARK(U22(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1)) -> c(MARK(U31(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U41(z0, z1, z2)) -> c(MARK(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatKind(z0)) -> c(MARK(isNatKind(encArg(z0))))

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(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_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNat(z0)) -> c(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U13(z0)) -> c(U11'(encArg(x0), encArg(x1), U13(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U22(z0)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U31(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U41(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_and(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNatKind(z0)) -> c(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNat(z0), x2) -> c(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U13(z0), x2) -> c(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0), x2) -> c(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U31(z0, z1), x2) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U41(z0, z1, z2), x2) -> c(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_and(z0, z1), x2) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNatKind(z0), x2) -> c(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNat(z0), x1, x2) -> c(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U13(z0), x1, x2) -> c(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0), x1, x2) -> c(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U31(z0, z1), x1, x2) -> c(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U41(z0, z1, z2), x1, x2) -> c(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_and(z0, z1), x1, x2) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNatKind(z0), x1, x2) -> c(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1)) -> c(MARK(U12(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_U13(z0)) -> c(MARK(U13(encArg(z0))))
   ENCODE_MARK(cons_U21(z0, z1)) -> c(MARK(U21(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U22(z0)) -> c(MARK(U22(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1)) -> c(MARK(U31(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U41(z0, z1, z2)) -> c(MARK(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatKind(z0)) -> c(MARK(isNatKind(encArg(z0))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(125) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1)))
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(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_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNat(z0)) -> c(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U13(z0)) -> c(U11'(encArg(x0), encArg(x1), U13(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U22(z0)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U31(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U41(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_and(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNatKind(z0)) -> c(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNat(z0), x2) -> c(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U13(z0), x2) -> c(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0), x2) -> c(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U31(z0, z1), x2) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U41(z0, z1, z2), x2) -> c(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_and(z0, z1), x2) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNatKind(z0), x2) -> c(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNat(z0), x1, x2) -> c(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U13(z0), x1, x2) -> c(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0), x1, x2) -> c(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U31(z0, z1), x1, x2) -> c(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U41(z0, z1, z2), x1, x2) -> c(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_and(z0, z1), x1, x2) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNatKind(z0), x1, x2) -> c(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1)) -> c(MARK(U12(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_U13(z0)) -> c(MARK(U13(encArg(z0))))
   ENCODE_MARK(cons_U21(z0, z1)) -> c(MARK(U21(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U22(z0)) -> c(MARK(U22(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1)) -> c(MARK(U31(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U41(z0, z1, z2)) -> c(MARK(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatKind(z0)) -> c(MARK(isNatKind(encArg(z0))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_U12_2, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(127) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U12(z0, z1) -> c(U12'(encArg(z0), encArg(z1))) by 
   ENCODE_U12(x0, tt) -> c(U12'(encArg(x0), tt))
   ENCODE_U12(x0, 0) -> c(U12'(encArg(x0), 0))
   ENCODE_U12(x0, cons_active(z0)) -> c(U12'(encArg(x0), active(encArg(z0))))
   ENCODE_U12(x0, cons_mark(z0)) -> c(U12'(encArg(x0), mark(encArg(z0))))
   ENCODE_U12(x0, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_U12(z0, z1)) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNat(z0)) -> c(U12'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U12(x0, cons_U13(z0)) -> c(U12'(encArg(x0), U13(encArg(z0))))
   ENCODE_U12(x0, cons_U21(z0, z1)) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U22(z0)) -> c(U12'(encArg(x0), U22(encArg(z0))))
   ENCODE_U12(x0, cons_U31(z0, z1)) -> c(U12'(encArg(x0), U31(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U41(z0, z1, z2)) -> c(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_s(z0)) -> c(U12'(encArg(x0), s(encArg(z0))))
   ENCODE_U12(x0, cons_plus(z0, z1)) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_and(z0, z1)) -> c(U12'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNatKind(z0)) -> c(U12'(encArg(x0), isNatKind(encArg(z0))))
   ENCODE_U12(tt, x1) -> c(U12'(tt, encArg(x1)))
   ENCODE_U12(0, x1) -> c(U12'(0, encArg(x1)))
   ENCODE_U12(cons_active(z0), x1) -> c(U12'(active(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_mark(z0), x1) -> c(U12'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_U12(z0, z1), x1) -> c(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNat(z0), x1) -> c(U12'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U13(z0), x1) -> c(U12'(U13(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U21(z0, z1), x1) -> c(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U22(z0), x1) -> c(U12'(U22(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U31(z0, z1), x1) -> c(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U41(z0, z1, z2), x1) -> c(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_s(z0), x1) -> c(U12'(s(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_plus(z0, z1), x1) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_and(z0, z1), x1) -> c(U12'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNatKind(z0), x1) -> c(U12'(isNatKind(encArg(z0)), encArg(x1)))

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0)))
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(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_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNat(z0)) -> c(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U13(z0)) -> c(U11'(encArg(x0), encArg(x1), U13(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U22(z0)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U31(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U41(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_and(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNatKind(z0)) -> c(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNat(z0), x2) -> c(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U13(z0), x2) -> c(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0), x2) -> c(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U31(z0, z1), x2) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U41(z0, z1, z2), x2) -> c(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_and(z0, z1), x2) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNatKind(z0), x2) -> c(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNat(z0), x1, x2) -> c(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U13(z0), x1, x2) -> c(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0), x1, x2) -> c(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U31(z0, z1), x1, x2) -> c(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U41(z0, z1, z2), x1, x2) -> c(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_and(z0, z1), x1, x2) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNatKind(z0), x1, x2) -> c(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1)) -> c(MARK(U12(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_U13(z0)) -> c(MARK(U13(encArg(z0))))
   ENCODE_MARK(cons_U21(z0, z1)) -> c(MARK(U21(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U22(z0)) -> c(MARK(U22(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1)) -> c(MARK(U31(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U41(z0, z1, z2)) -> c(MARK(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatKind(z0)) -> c(MARK(isNatKind(encArg(z0))))
   ENCODE_U12(x0, tt) -> c(U12'(encArg(x0), tt))
   ENCODE_U12(x0, 0) -> c(U12'(encArg(x0), 0))
   ENCODE_U12(x0, cons_active(z0)) -> c(U12'(encArg(x0), active(encArg(z0))))
   ENCODE_U12(x0, cons_mark(z0)) -> c(U12'(encArg(x0), mark(encArg(z0))))
   ENCODE_U12(x0, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_U12(z0, z1)) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNat(z0)) -> c(U12'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U12(x0, cons_U13(z0)) -> c(U12'(encArg(x0), U13(encArg(z0))))
   ENCODE_U12(x0, cons_U21(z0, z1)) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U22(z0)) -> c(U12'(encArg(x0), U22(encArg(z0))))
   ENCODE_U12(x0, cons_U31(z0, z1)) -> c(U12'(encArg(x0), U31(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U41(z0, z1, z2)) -> c(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_s(z0)) -> c(U12'(encArg(x0), s(encArg(z0))))
   ENCODE_U12(x0, cons_plus(z0, z1)) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_and(z0, z1)) -> c(U12'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNatKind(z0)) -> c(U12'(encArg(x0), isNatKind(encArg(z0))))
   ENCODE_U12(tt, x1) -> c(U12'(tt, encArg(x1)))
   ENCODE_U12(0, x1) -> c(U12'(0, encArg(x1)))
   ENCODE_U12(cons_active(z0), x1) -> c(U12'(active(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_mark(z0), x1) -> c(U12'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_U12(z0, z1), x1) -> c(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNat(z0), x1) -> c(U12'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U13(z0), x1) -> c(U12'(U13(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U21(z0, z1), x1) -> c(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U22(z0), x1) -> c(U12'(U22(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U31(z0, z1), x1) -> c(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U41(z0, z1, z2), x1) -> c(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_s(z0), x1) -> c(U12'(s(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_plus(z0, z1), x1) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_and(z0, z1), x1) -> c(U12'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNatKind(z0), x1) -> c(U12'(isNatKind(encArg(z0)), encArg(x1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_ISNAT_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(129) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ISNAT(z0) -> c(ISNAT(encArg(z0))) by 
   ENCODE_ISNAT(tt) -> c(ISNAT(tt))
   ENCODE_ISNAT(0) -> c(ISNAT(0))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_U11(z0, z1, z2)) -> c(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ISNAT(cons_U12(z0, z1)) -> c(ISNAT(U12(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_U13(z0)) -> c(ISNAT(U13(encArg(z0))))
   ENCODE_ISNAT(cons_U21(z0, z1)) -> c(ISNAT(U21(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_U22(z0)) -> c(ISNAT(U22(encArg(z0))))
   ENCODE_ISNAT(cons_U31(z0, z1)) -> c(ISNAT(U31(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_U41(z0, z1, z2)) -> c(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_plus(z0, z1)) -> c(ISNAT(plus(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatKind(z0)) -> c(ISNAT(isNatKind(encArg(z0))))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(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_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNat(z0)) -> c(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U13(z0)) -> c(U11'(encArg(x0), encArg(x1), U13(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U22(z0)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U31(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U41(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_and(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNatKind(z0)) -> c(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNat(z0), x2) -> c(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U13(z0), x2) -> c(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0), x2) -> c(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U31(z0, z1), x2) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U41(z0, z1, z2), x2) -> c(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_and(z0, z1), x2) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNatKind(z0), x2) -> c(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNat(z0), x1, x2) -> c(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U13(z0), x1, x2) -> c(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0), x1, x2) -> c(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U31(z0, z1), x1, x2) -> c(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U41(z0, z1, z2), x1, x2) -> c(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_and(z0, z1), x1, x2) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNatKind(z0), x1, x2) -> c(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1)) -> c(MARK(U12(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_U13(z0)) -> c(MARK(U13(encArg(z0))))
   ENCODE_MARK(cons_U21(z0, z1)) -> c(MARK(U21(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U22(z0)) -> c(MARK(U22(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1)) -> c(MARK(U31(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U41(z0, z1, z2)) -> c(MARK(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatKind(z0)) -> c(MARK(isNatKind(encArg(z0))))
   ENCODE_U12(x0, tt) -> c(U12'(encArg(x0), tt))
   ENCODE_U12(x0, 0) -> c(U12'(encArg(x0), 0))
   ENCODE_U12(x0, cons_active(z0)) -> c(U12'(encArg(x0), active(encArg(z0))))
   ENCODE_U12(x0, cons_mark(z0)) -> c(U12'(encArg(x0), mark(encArg(z0))))
   ENCODE_U12(x0, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_U12(z0, z1)) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNat(z0)) -> c(U12'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U12(x0, cons_U13(z0)) -> c(U12'(encArg(x0), U13(encArg(z0))))
   ENCODE_U12(x0, cons_U21(z0, z1)) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U22(z0)) -> c(U12'(encArg(x0), U22(encArg(z0))))
   ENCODE_U12(x0, cons_U31(z0, z1)) -> c(U12'(encArg(x0), U31(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U41(z0, z1, z2)) -> c(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_s(z0)) -> c(U12'(encArg(x0), s(encArg(z0))))
   ENCODE_U12(x0, cons_plus(z0, z1)) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_and(z0, z1)) -> c(U12'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNatKind(z0)) -> c(U12'(encArg(x0), isNatKind(encArg(z0))))
   ENCODE_U12(tt, x1) -> c(U12'(tt, encArg(x1)))
   ENCODE_U12(0, x1) -> c(U12'(0, encArg(x1)))
   ENCODE_U12(cons_active(z0), x1) -> c(U12'(active(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_mark(z0), x1) -> c(U12'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_U12(z0, z1), x1) -> c(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNat(z0), x1) -> c(U12'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U13(z0), x1) -> c(U12'(U13(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U21(z0, z1), x1) -> c(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U22(z0), x1) -> c(U12'(U22(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U31(z0, z1), x1) -> c(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U41(z0, z1, z2), x1) -> c(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_s(z0), x1) -> c(U12'(s(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_plus(z0, z1), x1) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_and(z0, z1), x1) -> c(U12'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNatKind(z0), x1) -> c(U12'(isNatKind(encArg(z0)), encArg(x1)))
   ENCODE_ISNAT(tt) -> c(ISNAT(tt))
   ENCODE_ISNAT(0) -> c(ISNAT(0))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_U11(z0, z1, z2)) -> c(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ISNAT(cons_U12(z0, z1)) -> c(ISNAT(U12(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_U13(z0)) -> c(ISNAT(U13(encArg(z0))))
   ENCODE_ISNAT(cons_U21(z0, z1)) -> c(ISNAT(U21(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_U22(z0)) -> c(ISNAT(U22(encArg(z0))))
   ENCODE_ISNAT(cons_U31(z0, z1)) -> c(ISNAT(U31(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_U41(z0, z1, z2)) -> c(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_plus(z0, z1)) -> c(ISNAT(plus(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatKind(z0)) -> c(ISNAT(isNatKind(encArg(z0))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1


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

(131) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCODE_ISNAT(0) -> c(ISNAT(0))
   ENCODE_ISNAT(tt) -> c(ISNAT(tt))

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1)) -> U12(encArg(z0), encArg(z1))
   encArg(cons_isNat(z0)) -> isNat(encArg(z0))
   encArg(cons_U13(z0)) -> U13(encArg(z0))
   encArg(cons_U21(z0, z1)) -> U21(encArg(z0), encArg(z1))
   encArg(cons_U22(z0)) -> U22(encArg(z0))
   encArg(cons_U31(z0, z1)) -> U31(encArg(z0), encArg(z1))
   encArg(cons_U41(z0, z1, z2)) -> U41(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_and(z0, z1)) -> and(encArg(z0), encArg(z1))
   encArg(cons_isNatKind(z0)) -> isNatKind(encArg(z0))
   active(U11(tt, z0, z1)) -> mark(U12(isNat(z0), z1))
   active(U12(tt, z0)) -> mark(U13(isNat(z0)))
   active(U13(tt)) -> mark(tt)
   active(U21(tt, z0)) -> mark(U22(isNat(z0)))
   active(U22(tt)) -> mark(tt)
   active(U31(tt, z0)) -> mark(z0)
   active(U41(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(and(tt, z0)) -> mark(z0)
   active(isNat(0)) -> mark(tt)
   active(isNat(plus(z0, z1))) -> mark(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1))
   active(isNat(s(z0))) -> mark(U21(isNatKind(z0), z0))
   active(isNatKind(0)) -> mark(tt)
   active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1)))
   active(isNatKind(s(z0))) -> mark(isNatKind(z0))
   active(plus(z0, 0)) -> mark(U31(and(isNat(z0), isNatKind(z0)), z0))
   active(plus(z0, s(z1))) -> mark(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1)) -> active(U12(mark(z0), z1))
   mark(isNat(z0)) -> active(isNat(z0))
   mark(U13(z0)) -> active(U13(mark(z0)))
   mark(U21(z0, z1)) -> active(U21(mark(z0), z1))
   mark(U22(z0)) -> active(U22(mark(z0)))
   mark(U31(z0, z1)) -> active(U31(mark(z0), z1))
   mark(U41(z0, z1, z2)) -> active(U41(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(and(z0, z1)) -> active(and(mark(z0), z1))
   mark(0) -> active(0)
   mark(isNatKind(z0)) -> active(isNatKind(z0))
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1) -> U12(z0, z1)
   U12(z0, mark(z1)) -> U12(z0, z1)
   U12(active(z0), z1) -> U12(z0, z1)
   U12(z0, active(z1)) -> U12(z0, z1)
   isNat(mark(z0)) -> isNat(z0)
   isNat(active(z0)) -> isNat(z0)
   U13(mark(z0)) -> U13(z0)
   U13(active(z0)) -> U13(z0)
   U21(mark(z0), z1) -> U21(z0, z1)
   U21(z0, mark(z1)) -> U21(z0, z1)
   U21(active(z0), z1) -> U21(z0, z1)
   U21(z0, active(z1)) -> U21(z0, z1)
   U22(mark(z0)) -> U22(z0)
   U22(active(z0)) -> U22(z0)
   U31(mark(z0), z1) -> U31(z0, z1)
   U31(z0, mark(z1)) -> U31(z0, z1)
   U31(active(z0), z1) -> U31(z0, z1)
   U31(z0, active(z1)) -> U31(z0, z1)
   U41(mark(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, mark(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, mark(z2)) -> U41(z0, z1, z2)
   U41(active(z0), z1, z2) -> U41(z0, z1, z2)
   U41(z0, active(z1), z2) -> U41(z0, z1, z2)
   U41(z0, z1, active(z2)) -> U41(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(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)
   isNatKind(mark(z0)) -> isNatKind(z0)
   isNatKind(active(z0)) -> isNatKind(z0)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   ENCODE_U13(z0) -> c(U13'(encArg(z0)))
   ENCODE_U21(z0, z1) -> c(U21'(encArg(z0), encArg(z1)))
   ENCODE_U22(z0) -> c(U22'(encArg(z0)))
   ENCODE_U31(z0, z1) -> c(U31'(encArg(z0), encArg(z1)))
   ENCODE_U41(z0, z1, z2) -> c(U41'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_AND(z0, z1) -> c(AND(encArg(z0), encArg(z1)))
   ENCODE_ISNATKIND(z0) -> c(ISNATKIND(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_active(cons_isNat(z0))) -> c2(ACTIVE(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_active(cons_U13(z0))) -> c2(ACTIVE(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_active(cons_U21(z0, z1))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_active(cons_U22(z0))) -> c2(ACTIVE(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_active(cons_U31(z0, z1))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_active(cons_U41(z0, z1, z2))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_and(z0, z1))) -> c2(ACTIVE(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_active(cons_isNatKind(z0))) -> c2(ACTIVE(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1))) -> c3(MARK(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_mark(cons_isNat(z0))) -> c3(MARK(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_mark(cons_U13(z0))) -> c3(MARK(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_mark(cons_U21(z0, z1))) -> c3(MARK(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_mark(cons_U22(z0))) -> c3(MARK(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_mark(cons_U31(z0, z1))) -> c3(MARK(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_mark(cons_U41(z0, z1, z2))) -> c3(MARK(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_and(z0, z1))) -> c3(MARK(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_mark(cons_isNatKind(z0))) -> c3(MARK(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNat(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U11(x0, x1, cons_U13(z0))) -> c4(U11'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U11(x0, x1, cons_U31(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U41(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_and(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_isNatKind(z0))) -> c4(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNat(z0), x2)) -> c4(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U13(z0), x2)) -> c4(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U31(z0, z1), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U41(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_and(z0, z1), x2)) -> c4(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_isNatKind(z0), x2)) -> c4(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNat(z0), x1, x2)) -> c4(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U13(z0), x1, x2)) -> c4(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0), x1, x2)) -> c4(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U31(z0, z1), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U41(z0, z1, z2), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_and(z0, z1), x1, x2)) -> c4(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_isNatKind(z0), x1, x2)) -> c4(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0))) -> c5(U12'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, cons_mark(z0))) -> c5(U12'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_U12(z0, z1))) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNat(z0))) -> c5(U12'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U12(x0, cons_U13(z0))) -> c5(U12'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U12(x0, cons_U21(z0, z1))) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U12(x0, cons_U22(z0))) -> c5(U12'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U12(x0, cons_U31(z0, z1))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U12(x0, cons_U41(z0, z1, z2))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U12(x0, cons_s(z0))) -> c5(U12'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, cons_and(z0, z1))) -> c5(U12'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U12(x0, cons_isNatKind(z0))) -> c5(U12'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U12(cons_active(z0), x1)) -> c5(U12'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_mark(z0), x1)) -> c5(U12'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_U12(z0, z1), x1)) -> c5(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNat(z0), x1)) -> c5(U12'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U13(z0), x1)) -> c5(U12'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U21(z0, z1), x1)) -> c5(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U22(z0), x1)) -> c5(U12'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_U31(z0, z1), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_U41(z0, z1, z2), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U12(cons_s(z0), x1)) -> c5(U12'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U12(cons_plus(z0, z1), x1)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_and(z0, z1), x1)) -> c5(U12'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U12(cons_isNatKind(z0), x1)) -> c5(U12'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U12(x0, tt)) -> c5(U12'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U12(x0, 0)) -> c5(U12'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U12(tt, x1)) -> c5(U12'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U12(0, x1)) -> c5(U12'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNat(cons_active(z0))) -> c6(ISNAT(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNat(cons_mark(z0))) -> c6(ISNAT(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNat(cons_U11(z0, z1, z2))) -> c6(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNat(cons_U12(z0, z1))) -> c6(ISNAT(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNat(cons_isNat(z0))) -> c6(ISNAT(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNat(cons_U13(z0))) -> c6(ISNAT(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNat(cons_U21(z0, z1))) -> c6(ISNAT(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNat(cons_U22(z0))) -> c6(ISNAT(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNat(cons_U31(z0, z1))) -> c6(ISNAT(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNat(cons_U41(z0, z1, z2))) -> c6(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNat(cons_s(z0))) -> c6(ISNAT(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNat(cons_plus(z0, z1))) -> c6(ISNAT(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNat(cons_and(z0, z1))) -> c6(ISNAT(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNat(cons_isNatKind(z0))) -> c6(ISNAT(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U13(cons_active(z0))) -> c7(U13'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U13(cons_mark(z0))) -> c7(U13'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U13(cons_U11(z0, z1, z2))) -> c7(U13'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U13(cons_U12(z0, z1))) -> c7(U13'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U13(cons_isNat(z0))) -> c7(U13'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U13(cons_U13(z0))) -> c7(U13'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U13(cons_U21(z0, z1))) -> c7(U13'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U13(cons_U22(z0))) -> c7(U13'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U13(cons_U31(z0, z1))) -> c7(U13'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U13(cons_U41(z0, z1, z2))) -> c7(U13'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U13(cons_s(z0))) -> c7(U13'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U13(cons_plus(z0, z1))) -> c7(U13'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U13(cons_and(z0, z1))) -> c7(U13'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U13(cons_isNatKind(z0))) -> c7(U13'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(x0, cons_active(z0))) -> c8(U21'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, cons_mark(z0))) -> c8(U21'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_U12(z0, z1))) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNat(z0))) -> c8(U21'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U21(x0, cons_U13(z0))) -> c8(U21'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U21(x0, cons_U21(z0, z1))) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U21(x0, cons_U22(z0))) -> c8(U21'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U21(x0, cons_U31(z0, z1))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U21(x0, cons_U41(z0, z1, z2))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U21(x0, cons_s(z0))) -> c8(U21'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, cons_and(z0, z1))) -> c8(U21'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U21(x0, cons_isNatKind(z0))) -> c8(U21'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U21(cons_active(z0), x1)) -> c8(U21'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_mark(z0), x1)) -> c8(U21'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_U12(z0, z1), x1)) -> c8(U21'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNat(z0), x1)) -> c8(U21'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U13(z0), x1)) -> c8(U21'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U21(z0, z1), x1)) -> c8(U21'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U22(z0), x1)) -> c8(U21'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_U31(z0, z1), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_U41(z0, z1, z2), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U21(cons_s(z0), x1)) -> c8(U21'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U21(cons_plus(z0, z1), x1)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_and(z0, z1), x1)) -> c8(U21'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U21(cons_isNatKind(z0), x1)) -> c8(U21'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U21(x0, tt)) -> c8(U21'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U21(x0, 0)) -> c8(U21'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U21(tt, x1)) -> c8(U21'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(0, x1)) -> c8(U21'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U22(cons_active(z0))) -> c9(U22'(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(cons_mark(z0))) -> c9(U22'(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(cons_U11(z0, z1, z2))) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(cons_U12(z0, z1))) -> c9(U22'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U22(cons_isNat(z0))) -> c9(U22'(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U22(cons_U13(z0))) -> c9(U22'(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_U22(cons_U21(z0, z1))) -> c9(U22'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U22(cons_U22(z0))) -> c9(U22'(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_U22(cons_U31(z0, z1))) -> c9(U22'(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U22(cons_U41(z0, z1, z2))) -> c9(U22'(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U22(cons_s(z0))) -> c9(U22'(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(cons_plus(z0, z1))) -> c9(U22'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(cons_and(z0, z1))) -> c9(U22'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U22(cons_isNatKind(z0))) -> c9(U22'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(x0, cons_active(z0))) -> c10(U31'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_U31(x0, cons_mark(z0))) -> c10(U31'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_U31(x0, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNat(z0))) -> c10(U31'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U31(x0, cons_U13(z0))) -> c10(U31'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_U31(x0, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U31(x0, cons_U22(z0))) -> c10(U31'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_U31(x0, cons_U31(z0, z1))) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U31(x0, cons_U41(z0, z1, z2))) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U31(x0, cons_s(z0))) -> c10(U31'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_U31(x0, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U31(x0, cons_and(z0, z1))) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U31(x0, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U31(cons_active(z0), x1)) -> c10(U31'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_mark(z0), x1)) -> c10(U31'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U11(z0, z1, z2), x1)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_U12(z0, z1), x1)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNat(z0), x1)) -> c10(U31'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U13(z0), x1)) -> c10(U31'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U21(z0, z1), x1)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U22(z0), x1)) -> c10(U31'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_U31(z0, z1), x1)) -> c10(U31'(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_U41(z0, z1, z2), x1)) -> c10(U31'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_U31(cons_s(z0), x1)) -> c10(U31'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_U31(cons_plus(z0, z1), x1)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_and(z0, z1), x1)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_U31(cons_isNatKind(z0), x1)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_U31(x0, tt)) -> c10(U31'(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_U31(x0, 0)) -> c10(U31'(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_U31(tt, x1)) -> c10(U31'(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U31(0, x1)) -> c10(U31'(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, cons_active(z0))) -> c11(U41'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U41(x0, x1, cons_mark(z0))) -> c11(U41'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U41(x0, x1, cons_U11(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_U12(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNat(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0)))
   ENCARG(cons_U41(x0, x1, cons_U13(z0))) -> c11(U41'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0)))
   ENCARG(cons_U41(x0, x1, cons_U21(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U22(z0))) -> c11(U41'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0)))
   ENCARG(cons_U41(x0, x1, cons_U31(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_U41(z0, z1, z2))) -> c11(U41'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_U41(x0, x1, cons_s(z0))) -> c11(U41'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U41(x0, x1, cons_plus(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_and(z0, z1))) -> c11(U41'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_U41(x0, x1, cons_isNatKind(z0))) -> c11(U41'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_U41(x0, cons_active(z0), x2)) -> c11(U41'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_mark(z0), x2)) -> c11(U41'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U11(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U12(z0, z1), x2)) -> c11(U41'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNat(z0), x2)) -> c11(U41'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U13(z0), x2)) -> c11(U41'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U21(z0, z1), x2)) -> c11(U41'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U22(z0), x2)) -> c11(U41'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U31(z0, z1), x2)) -> c11(U41'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_U41(z0, z1, z2), x2)) -> c11(U41'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_s(z0), x2)) -> c11(U41'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_plus(z0, z1), x2)) -> c11(U41'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_and(z0, z1), x2)) -> c11(U41'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2))
   ENCARG(cons_U41(x0, cons_isNatKind(z0), x2)) -> c11(U41'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2))
   ENCARG(cons_U41(cons_active(z0), x1, x2)) -> c11(U41'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_mark(z0), x1, x2)) -> c11(U41'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U11(z0, z1, z2), x1, x2)) -> c11(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U12(z0, z1), x1, x2)) -> c11(U41'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNat(z0), x1, x2)) -> c11(U41'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U13(z0), x1, x2)) -> c11(U41'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U21(z0, z1), x1, x2)) -> c11(U41'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U22(z0), x1, x2)) -> c11(U41'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U31(z0, z1), x1, x2)) -> c11(U41'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_U41(z0, z1, z2), x1, x2)) -> c11(U41'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_s(z0), x1, x2)) -> c11(U41'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_plus(z0, z1), x1, x2)) -> c11(U41'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_and(z0, z1), x1, x2)) -> c11(U41'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(cons_isNatKind(z0), x1, x2)) -> c11(U41'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(x0, x1, tt)) -> c11(U41'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, x1, 0)) -> c11(U41'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U41(x0, tt, x2)) -> c11(U41'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(x0, 0, x2)) -> c11(U41'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U41(tt, x1, x2)) -> c11(U41'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U41(0, x1, x2)) -> c11(U41'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(cons_active(z0))) -> c12(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c12(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c12(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1))) -> c12(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_s(cons_isNat(z0))) -> c12(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_s(cons_U13(z0))) -> c12(S(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_s(cons_U21(z0, z1))) -> c12(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_s(cons_U22(z0))) -> c12(S(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_s(cons_U31(z0, z1))) -> c12(S(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_s(cons_U41(z0, z1, z2))) -> c12(S(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c12(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c12(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_and(z0, z1))) -> c12(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_s(cons_isNatKind(z0))) -> c12(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c13(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c13(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c13(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1))) -> c13(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNat(z0))) -> c13(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_plus(x0, cons_U13(z0))) -> c13(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c13(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_plus(x0, cons_U22(z0))) -> c13(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_plus(x0, cons_U31(z0, z1))) -> c13(PLUS(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_plus(x0, cons_U41(z0, z1, z2))) -> c13(PLUS(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c13(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c13(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c13(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c13(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c13(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c13(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c13(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1), x1)) -> c13(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNat(z0), x1)) -> c13(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U13(z0), x1)) -> c13(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c13(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0), x1)) -> c13(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U31(z0, z1), x1)) -> c13(PLUS(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U41(z0, z1, z2), x1)) -> c13(PLUS(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c13(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c13(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c13(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c13(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c13(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c13(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c13(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c13(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(x0, cons_active(z0))) -> c14(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_and(x0, cons_mark(z0))) -> c14(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c14(AND(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_U12(z0, z1))) -> c14(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_and(x0, cons_isNat(z0))) -> c14(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0)))
   ENCARG(cons_and(x0, cons_U13(z0))) -> c14(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0)))
   ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c14(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_and(x0, cons_U22(z0))) -> c14(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0)))
   ENCARG(cons_and(x0, cons_U31(z0, z1))) -> c14(AND(encArg(x0), U31(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_and(x0, cons_U41(z0, z1, z2))) -> c14(AND(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_and(x0, cons_s(z0))) -> c14(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c14(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_and(x0, cons_and(z0, z1))) -> c14(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c14(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0)))
   ENCARG(cons_and(cons_active(z0), x1)) -> c14(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_mark(z0), x1)) -> c14(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c14(AND(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_U12(z0, z1), x1)) -> c14(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNat(z0), x1)) -> c14(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U13(z0), x1)) -> c14(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c14(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U22(z0), x1)) -> c14(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_U31(z0, z1), x1)) -> c14(AND(U31(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U31(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_U41(z0, z1, z2), x1)) -> c14(AND(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U41(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_and(cons_s(z0), x1)) -> c14(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c14(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_and(z0, z1), x1)) -> c14(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1))
   ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c14(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1))
   ENCARG(cons_and(x0, tt)) -> c14(AND(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_and(x0, 0)) -> c14(AND(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_and(tt, x1)) -> c14(AND(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_and(0, x1)) -> c14(AND(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_isNatKind(cons_active(z0))) -> c15(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_isNatKind(cons_mark(z0))) -> c15(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c15(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c15(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNat(z0))) -> c15(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0)))
   ENCARG(cons_isNatKind(cons_U13(z0))) -> c15(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0)))
   ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c15(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1)))
   ENCARG(cons_isNatKind(cons_U22(z0))) -> c15(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0)))
   ENCARG(cons_isNatKind(cons_U31(z0, z1))) -> c15(ISNATKIND(U31(encArg(z0), encArg(z1))), ENCARG(cons_U31(z0, z1)))
   ENCARG(cons_isNatKind(cons_U41(z0, z1, z2))) -> c15(ISNATKIND(U41(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U41(z0, z1, z2)))
   ENCARG(cons_isNatKind(cons_s(z0))) -> c15(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c15(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c15(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1)))
   ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c15(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0)))
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(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_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1)) -> c(ACTIVE(U12(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNat(z0)) -> c(ACTIVE(isNat(encArg(z0))))
   ENCODE_ACTIVE(cons_U13(z0)) -> c(ACTIVE(U13(encArg(z0))))
   ENCODE_ACTIVE(cons_U21(z0, z1)) -> c(ACTIVE(U21(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U22(z0)) -> c(ACTIVE(U22(encArg(z0))))
   ENCODE_ACTIVE(cons_U31(z0, z1)) -> c(ACTIVE(U31(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U41(z0, z1, z2)) -> c(ACTIVE(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_and(z0, z1)) -> c(ACTIVE(and(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_isNatKind(z0)) -> c(ACTIVE(isNatKind(encArg(z0))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNat(z0)) -> c(U11'(encArg(x0), encArg(x1), isNat(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U13(z0)) -> c(U11'(encArg(x0), encArg(x1), U13(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U22(z0)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U31(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U41(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_and(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_isNatKind(z0)) -> c(U11'(encArg(x0), encArg(x1), isNatKind(encArg(z0))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNat(z0), x2) -> c(U11'(encArg(x0), isNat(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U13(z0), x2) -> c(U11'(encArg(x0), U13(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0), x2) -> c(U11'(encArg(x0), U22(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U31(z0, z1), x2) -> c(U11'(encArg(x0), U31(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U41(z0, z1, z2), x2) -> c(U11'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_and(z0, z1), x2) -> c(U11'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_isNatKind(z0), x2) -> c(U11'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNat(z0), x1, x2) -> c(U11'(isNat(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U13(z0), x1, x2) -> c(U11'(U13(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0), x1, x2) -> c(U11'(U22(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U31(z0, z1), x1, x2) -> c(U11'(U31(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U41(z0, z1, z2), x1, x2) -> c(U11'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_and(z0, z1), x1, x2) -> c(U11'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_isNatKind(z0), x1, x2) -> c(U11'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1)) -> c(MARK(U12(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNat(z0)) -> c(MARK(isNat(encArg(z0))))
   ENCODE_MARK(cons_U13(z0)) -> c(MARK(U13(encArg(z0))))
   ENCODE_MARK(cons_U21(z0, z1)) -> c(MARK(U21(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U22(z0)) -> c(MARK(U22(encArg(z0))))
   ENCODE_MARK(cons_U31(z0, z1)) -> c(MARK(U31(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U41(z0, z1, z2)) -> c(MARK(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_and(z0, z1)) -> c(MARK(and(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_isNatKind(z0)) -> c(MARK(isNatKind(encArg(z0))))
   ENCODE_U12(x0, tt) -> c(U12'(encArg(x0), tt))
   ENCODE_U12(x0, 0) -> c(U12'(encArg(x0), 0))
   ENCODE_U12(x0, cons_active(z0)) -> c(U12'(encArg(x0), active(encArg(z0))))
   ENCODE_U12(x0, cons_mark(z0)) -> c(U12'(encArg(x0), mark(encArg(z0))))
   ENCODE_U12(x0, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_U12(z0, z1)) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNat(z0)) -> c(U12'(encArg(x0), isNat(encArg(z0))))
   ENCODE_U12(x0, cons_U13(z0)) -> c(U12'(encArg(x0), U13(encArg(z0))))
   ENCODE_U12(x0, cons_U21(z0, z1)) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U22(z0)) -> c(U12'(encArg(x0), U22(encArg(z0))))
   ENCODE_U12(x0, cons_U31(z0, z1)) -> c(U12'(encArg(x0), U31(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_U41(z0, z1, z2)) -> c(U12'(encArg(x0), U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, cons_s(z0)) -> c(U12'(encArg(x0), s(encArg(z0))))
   ENCODE_U12(x0, cons_plus(z0, z1)) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_and(z0, z1)) -> c(U12'(encArg(x0), and(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, cons_isNatKind(z0)) -> c(U12'(encArg(x0), isNatKind(encArg(z0))))
   ENCODE_U12(tt, x1) -> c(U12'(tt, encArg(x1)))
   ENCODE_U12(0, x1) -> c(U12'(0, encArg(x1)))
   ENCODE_U12(cons_active(z0), x1) -> c(U12'(active(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_mark(z0), x1) -> c(U12'(mark(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_U12(z0, z1), x1) -> c(U12'(U12(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNat(z0), x1) -> c(U12'(isNat(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U13(z0), x1) -> c(U12'(U13(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U21(z0, z1), x1) -> c(U12'(U21(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U22(z0), x1) -> c(U12'(U22(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_U31(z0, z1), x1) -> c(U12'(U31(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_U41(z0, z1, z2), x1) -> c(U12'(U41(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_U12(cons_s(z0), x1) -> c(U12'(s(encArg(z0)), encArg(x1)))
   ENCODE_U12(cons_plus(z0, z1), x1) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_and(z0, z1), x1) -> c(U12'(and(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U12(cons_isNatKind(z0), x1) -> c(U12'(isNatKind(encArg(z0)), encArg(x1)))
   ENCODE_ISNAT(cons_active(z0)) -> c(ISNAT(active(encArg(z0))))
   ENCODE_ISNAT(cons_mark(z0)) -> c(ISNAT(mark(encArg(z0))))
   ENCODE_ISNAT(cons_U11(z0, z1, z2)) -> c(ISNAT(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ISNAT(cons_U12(z0, z1)) -> c(ISNAT(U12(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNat(z0)) -> c(ISNAT(isNat(encArg(z0))))
   ENCODE_ISNAT(cons_U13(z0)) -> c(ISNAT(U13(encArg(z0))))
   ENCODE_ISNAT(cons_U21(z0, z1)) -> c(ISNAT(U21(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_U22(z0)) -> c(ISNAT(U22(encArg(z0))))
   ENCODE_ISNAT(cons_U31(z0, z1)) -> c(ISNAT(U31(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_U41(z0, z1, z2)) -> c(ISNAT(U41(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ISNAT(cons_s(z0)) -> c(ISNAT(s(encArg(z0))))
   ENCODE_ISNAT(cons_plus(z0, z1)) -> c(ISNAT(plus(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_and(z0, z1)) -> c(ISNAT(and(encArg(z0), encArg(z1))))
   ENCODE_ISNAT(cons_isNatKind(z0)) -> c(ISNAT(isNatKind(encArg(z0))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c32(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0))
   ACTIVE(U13(tt)) -> c34(MARK(tt))
   ACTIVE(U22(tt)) -> c36(MARK(tt))
   ACTIVE(U31(tt, z0)) -> c37(MARK(z0))
   ACTIVE(and(tt, z0)) -> c39(MARK(z0))
   ACTIVE(isNat(0)) -> c40(MARK(tt))
   ACTIVE(isNatKind(0)) -> c43(MARK(tt))
   ACTIVE(isNatKind(s(z0))) -> c45(MARK(isNatKind(z0)), ISNATKIND(z0))
   MARK(isNat(z0)) -> c51(ACTIVE(isNat(z0)), ISNAT(z0))
   MARK(isNatKind(z0)) -> c61(ACTIVE(isNatKind(z0)), ISNATKIND(z0))
   U11'(mark(z0), z1, z2) -> c62(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c63(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c64(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c65(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c66(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c67(U11'(z0, z1, z2))
   U12'(mark(z0), z1) -> c68(U12'(z0, z1))
   U12'(z0, mark(z1)) -> c69(U12'(z0, z1))
   U12'(active(z0), z1) -> c70(U12'(z0, z1))
   U12'(z0, active(z1)) -> c71(U12'(z0, z1))
   ISNAT(mark(z0)) -> c72(ISNAT(z0))
   ISNAT(active(z0)) -> c73(ISNAT(z0))
   U13'(mark(z0)) -> c74(U13'(z0))
   U13'(active(z0)) -> c75(U13'(z0))
   U21'(mark(z0), z1) -> c76(U21'(z0, z1))
   U21'(z0, mark(z1)) -> c77(U21'(z0, z1))
   U21'(active(z0), z1) -> c78(U21'(z0, z1))
   U21'(z0, active(z1)) -> c79(U21'(z0, z1))
   U22'(mark(z0)) -> c80(U22'(z0))
   U22'(active(z0)) -> c81(U22'(z0))
   U31'(mark(z0), z1) -> c82(U31'(z0, z1))
   U31'(z0, mark(z1)) -> c83(U31'(z0, z1))
   U31'(active(z0), z1) -> c84(U31'(z0, z1))
   U31'(z0, active(z1)) -> c85(U31'(z0, z1))
   U41'(mark(z0), z1, z2) -> c86(U41'(z0, z1, z2))
   U41'(z0, mark(z1), z2) -> c87(U41'(z0, z1, z2))
   U41'(z0, z1, mark(z2)) -> c88(U41'(z0, z1, z2))
   U41'(active(z0), z1, z2) -> c89(U41'(z0, z1, z2))
   U41'(z0, active(z1), z2) -> c90(U41'(z0, z1, z2))
   U41'(z0, z1, active(z2)) -> c91(U41'(z0, z1, z2))
   S(mark(z0)) -> c92(S(z0))
   S(active(z0)) -> c93(S(z0))
   PLUS(mark(z0), z1) -> c94(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c95(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c96(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c97(PLUS(z0, z1))
   AND(mark(z0), z1) -> c98(AND(z0, z1))
   AND(z0, mark(z1)) -> c99(AND(z0, z1))
   AND(active(z0), z1) -> c100(AND(z0, z1))
   AND(z0, active(z1)) -> c101(AND(z0, z1))
   ISNATKIND(mark(z0)) -> c102(ISNATKIND(z0))
   ISNATKIND(active(z0)) -> c103(ISNATKIND(z0))
   ACTIVE(U12(tt, z0)) -> c33(MARK(U13(isNat(z0))), ISNAT(z0))
   ACTIVE(U21(tt, z0)) -> c35(MARK(U22(isNat(z0))), ISNAT(z0))
   ACTIVE(U41(tt, z0, z1)) -> c38(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(isNat(plus(z0, z1))) -> c41(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(isNat(s(z0))) -> c42(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0))
   ACTIVE(isNatKind(plus(z0, z1))) -> c44(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1))
   ACTIVE(plus(z0, 0)) -> c46(MARK(U31(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0))
   ACTIVE(plus(z0, s(z1))) -> c47(MARK(U41(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0))
   MARK(tt) -> c49
   MARK(0) -> c60
   MARK(U11(z0, z1, z2)) -> c48(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c48(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U12(mark(z0), z1)), x1, x2)), U11'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U11(isNat(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U11(U13(z0), x1, x2)) -> c48(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U11(U21(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U21(mark(z0), z1)), x1, x2)), U11'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U11(U22(z0), x1, x2)) -> c48(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U11(U31(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(U31(mark(z0), z1)), x1, x2)), U11'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U11(U41(z0, z1, z2), x1, x2)) -> c48(ACTIVE(U11(active(U41(mark(z0), z1, z2)), x1, x2)), U11'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c48(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(and(z0, z1), x1, x2)) -> c48(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U11(0, x1, x2)) -> c48(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(isNatKind(z0), x1, x2)) -> c48(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U11(x0, x1, x2)) -> c48(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1)) -> c50(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1)), U12'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1)) -> c50(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt))
   MARK(U12(U12(z0, z1), x1)) -> c50(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U12(isNat(z0), x1)) -> c50(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U12(U13(z0), x1)) -> c50(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U12(U21(z0, z1), x1)) -> c50(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U12(U22(z0), x1)) -> c50(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U12(U31(z0, z1), x1)) -> c50(ACTIVE(U12(active(U31(mark(z0), z1)), x1)), U12'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U12(U41(z0, z1, z2), x1)) -> c50(ACTIVE(U12(active(U41(mark(z0), z1, z2)), x1)), U12'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U12(s(z0), x1)) -> c50(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1)) -> c50(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U12(and(z0, z1), x1)) -> c50(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U12(0, x1)) -> c50(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0))
   MARK(U12(isNatKind(z0), x1)) -> c50(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U12(x0, x1)) -> c50(U12'(mark(x0), x1))
   MARK(U13(z0)) -> c52(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0))
   MARK(U13(U11(z0, z1, z2))) -> c52(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U13(tt)) -> c52(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt))
   MARK(U13(U12(z0, z1))) -> c52(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U13(isNat(z0))) -> c52(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U13(U13(z0))) -> c52(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U13(U21(z0, z1))) -> c52(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U13(U22(z0))) -> c52(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U13(U31(z0, z1))) -> c52(ACTIVE(U13(active(U31(mark(z0), z1)))), U13'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U13(U41(z0, z1, z2))) -> c52(ACTIVE(U13(active(U41(mark(z0), z1, z2)))), U13'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U13(s(z0))) -> c52(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0)))
   MARK(U13(plus(z0, z1))) -> c52(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U13(and(z0, z1))) -> c52(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U13(0)) -> c52(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0))
   MARK(U13(isNatKind(z0))) -> c52(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U21(z0, z1)) -> c53(ACTIVE(U21(z0, z1)), U21'(mark(z0), z1), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1)), U21'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1)) -> c53(ACTIVE(U21(active(tt), x1)), U21'(mark(tt), x1), MARK(tt))
   MARK(U21(U12(z0, z1), x1)) -> c53(ACTIVE(U21(active(U12(mark(z0), z1)), x1)), U21'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U21(isNat(z0), x1)) -> c53(ACTIVE(U21(active(isNat(z0)), x1)), U21'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U21(U13(z0), x1)) -> c53(ACTIVE(U21(active(U13(mark(z0))), x1)), U21'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U21(U21(z0, z1), x1)) -> c53(ACTIVE(U21(active(U21(mark(z0), z1)), x1)), U21'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U21(U22(z0), x1)) -> c53(ACTIVE(U21(active(U22(mark(z0))), x1)), U21'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U21(U31(z0, z1), x1)) -> c53(ACTIVE(U21(active(U31(mark(z0), z1)), x1)), U21'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U21(U41(z0, z1, z2), x1)) -> c53(ACTIVE(U21(active(U41(mark(z0), z1, z2)), x1)), U21'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U21(s(z0), x1)) -> c53(ACTIVE(U21(active(s(mark(z0))), x1)), U21'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1)) -> c53(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1)), U21'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U21(and(z0, z1), x1)) -> c53(ACTIVE(U21(active(and(mark(z0), z1)), x1)), U21'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U21(0, x1)) -> c53(ACTIVE(U21(active(0), x1)), U21'(mark(0), x1), MARK(0))
   MARK(U21(isNatKind(z0), x1)) -> c53(ACTIVE(U21(active(isNatKind(z0)), x1)), U21'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U21(x0, x1)) -> c53(U21'(mark(x0), x1))
   MARK(U22(z0)) -> c54(ACTIVE(U22(z0)), U22'(mark(z0)), MARK(z0))
   MARK(U22(U11(z0, z1, z2))) -> c54(ACTIVE(U22(active(U11(mark(z0), z1, z2)))), U22'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(U22(tt)) -> c54(ACTIVE(U22(active(tt))), U22'(mark(tt)), MARK(tt))
   MARK(U22(U12(z0, z1))) -> c54(ACTIVE(U22(active(U12(mark(z0), z1)))), U22'(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(U22(isNat(z0))) -> c54(ACTIVE(U22(active(isNat(z0)))), U22'(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(U22(U13(z0))) -> c54(ACTIVE(U22(active(U13(mark(z0))))), U22'(mark(U13(z0))), MARK(U13(z0)))
   MARK(U22(U21(z0, z1))) -> c54(ACTIVE(U22(active(U21(mark(z0), z1)))), U22'(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(U22(U22(z0))) -> c54(ACTIVE(U22(active(U22(mark(z0))))), U22'(mark(U22(z0))), MARK(U22(z0)))
   MARK(U22(U31(z0, z1))) -> c54(ACTIVE(U22(active(U31(mark(z0), z1)))), U22'(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(U22(U41(z0, z1, z2))) -> c54(ACTIVE(U22(active(U41(mark(z0), z1, z2)))), U22'(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(U22(s(z0))) -> c54(ACTIVE(U22(active(s(mark(z0))))), U22'(mark(s(z0))), MARK(s(z0)))
   MARK(U22(plus(z0, z1))) -> c54(ACTIVE(U22(active(plus(mark(z0), mark(z1))))), U22'(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(U22(and(z0, z1))) -> c54(ACTIVE(U22(active(and(mark(z0), z1)))), U22'(mark(and(z0, z1))), MARK(and(z0, z1)))
   MARK(U22(0)) -> c54(ACTIVE(U22(active(0))), U22'(mark(0)), MARK(0))
   MARK(U22(isNatKind(z0))) -> c54(ACTIVE(U22(active(isNatKind(z0)))), U22'(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(U31(z0, z1)) -> c55(ACTIVE(U31(z0, z1)), U31'(mark(z0), z1), MARK(z0))
   MARK(U31(U11(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U11(mark(z0), z1, z2)), x1)), U31'(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(U31(tt, x1)) -> c55(ACTIVE(U31(active(tt), x1)), U31'(mark(tt), x1), MARK(tt))
   MARK(U31(U12(z0, z1), x1)) -> c55(ACTIVE(U31(active(U12(mark(z0), z1)), x1)), U31'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(U31(isNat(z0), x1)) -> c55(ACTIVE(U31(active(isNat(z0)), x1)), U31'(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(U31(U13(z0), x1)) -> c55(ACTIVE(U31(active(U13(mark(z0))), x1)), U31'(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(U31(U21(z0, z1), x1)) -> c55(ACTIVE(U31(active(U21(mark(z0), z1)), x1)), U31'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(U31(U22(z0), x1)) -> c55(ACTIVE(U31(active(U22(mark(z0))), x1)), U31'(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(U31(U31(z0, z1), x1)) -> c55(ACTIVE(U31(active(U31(mark(z0), z1)), x1)), U31'(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(U31(U41(z0, z1, z2), x1)) -> c55(ACTIVE(U31(active(U41(mark(z0), z1, z2)), x1)), U31'(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(U31(s(z0), x1)) -> c55(ACTIVE(U31(active(s(mark(z0))), x1)), U31'(mark(s(z0)), x1), MARK(s(z0)))
   MARK(U31(plus(z0, z1), x1)) -> c55(ACTIVE(U31(active(plus(mark(z0), mark(z1))), x1)), U31'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(U31(and(z0, z1), x1)) -> c55(ACTIVE(U31(active(and(mark(z0), z1)), x1)), U31'(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(U31(0, x1)) -> c55(ACTIVE(U31(active(0), x1)), U31'(mark(0), x1), MARK(0))
   MARK(U31(isNatKind(z0), x1)) -> c55(ACTIVE(U31(active(isNatKind(z0)), x1)), U31'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(U31(x0, x1)) -> c55(U31'(mark(x0), x1))
   MARK(U41(z0, z1, z2)) -> c56(ACTIVE(U41(z0, z1, z2)), U41'(mark(z0), z1, z2), MARK(z0))
   MARK(U41(U11(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U11(mark(z0), z1, z2)), x1, x2)), U41'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U41(tt, x1, x2)) -> c56(ACTIVE(U41(active(tt), x1, x2)), U41'(mark(tt), x1, x2), MARK(tt))
   MARK(U41(U12(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U12(mark(z0), z1)), x1, x2)), U41'(mark(U12(z0, z1)), x1, x2), MARK(U12(z0, z1)))
   MARK(U41(isNat(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNat(z0)), x1, x2)), U41'(mark(isNat(z0)), x1, x2), MARK(isNat(z0)))
   MARK(U41(U13(z0), x1, x2)) -> c56(ACTIVE(U41(active(U13(mark(z0))), x1, x2)), U41'(mark(U13(z0)), x1, x2), MARK(U13(z0)))
   MARK(U41(U21(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U21(mark(z0), z1)), x1, x2)), U41'(mark(U21(z0, z1)), x1, x2), MARK(U21(z0, z1)))
   MARK(U41(U22(z0), x1, x2)) -> c56(ACTIVE(U41(active(U22(mark(z0))), x1, x2)), U41'(mark(U22(z0)), x1, x2), MARK(U22(z0)))
   MARK(U41(U31(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(U31(mark(z0), z1)), x1, x2)), U41'(mark(U31(z0, z1)), x1, x2), MARK(U31(z0, z1)))
   MARK(U41(U41(z0, z1, z2), x1, x2)) -> c56(ACTIVE(U41(active(U41(mark(z0), z1, z2)), x1, x2)), U41'(mark(U41(z0, z1, z2)), x1, x2), MARK(U41(z0, z1, z2)))
   MARK(U41(s(z0), x1, x2)) -> c56(ACTIVE(U41(active(s(mark(z0))), x1, x2)), U41'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U41(plus(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(plus(mark(z0), mark(z1))), x1, x2)), U41'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U41(and(z0, z1), x1, x2)) -> c56(ACTIVE(U41(active(and(mark(z0), z1)), x1, x2)), U41'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1)))
   MARK(U41(0, x1, x2)) -> c56(ACTIVE(U41(active(0), x1, x2)), U41'(mark(0), x1, x2), MARK(0))
   MARK(U41(isNatKind(z0), x1, x2)) -> c56(ACTIVE(U41(active(isNatKind(z0)), x1, x2)), U41'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0)))
   MARK(U41(x0, x1, x2)) -> c56(U41'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c57(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c57(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1))) -> c57(ACTIVE(s(active(U12(mark(z0), z1)))), S(mark(U12(z0, z1))), MARK(U12(z0, z1)))
   MARK(s(isNat(z0))) -> c57(ACTIVE(s(active(isNat(z0)))), S(mark(isNat(z0))), MARK(isNat(z0)))
   MARK(s(U13(z0))) -> c57(ACTIVE(s(active(U13(mark(z0))))), S(mark(U13(z0))), MARK(U13(z0)))
   MARK(s(U21(z0, z1))) -> c57(ACTIVE(s(active(U21(mark(z0), z1)))), S(mark(U21(z0, z1))), MARK(U21(z0, z1)))
   MARK(s(U22(z0))) -> c57(ACTIVE(s(active(U22(mark(z0))))), S(mark(U22(z0))), MARK(U22(z0)))
   MARK(s(U31(z0, z1))) -> c57(ACTIVE(s(active(U31(mark(z0), z1)))), S(mark(U31(z0, z1))), MARK(U31(z0, z1)))
   MARK(s(U41(z0, z1, z2))) -> c57(ACTIVE(s(active(U41(mark(z0), z1, z2)))), S(mark(U41(z0, z1, z2))), MARK(U41(z0, z1, z2)))
   MARK(s(s(z0))) -> c57(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c57(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(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(0)) -> c57(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(isNatKind(z0))) -> c57(ACTIVE(s(active(isNatKind(z0)))), S(mark(isNatKind(z0))), MARK(isNatKind(z0)))
   MARK(s(z0)) -> c57(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c58(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c58(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c58(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1)))), PLUS(mark(x0), mark(U12(z0, z1))), MARK(x0), MARK(U12(z0, z1)))
   MARK(plus(x0, isNat(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNat(z0)))), PLUS(mark(x0), mark(isNat(z0))), MARK(x0), MARK(isNat(z0)))
   MARK(plus(x0, U13(z0))) -> c58(ACTIVE(plus(mark(x0), active(U13(mark(z0))))), PLUS(mark(x0), mark(U13(z0))), MARK(x0), MARK(U13(z0)))
   MARK(plus(x0, U21(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1)))), PLUS(mark(x0), mark(U21(z0, z1))), MARK(x0), MARK(U21(z0, z1)))
   MARK(plus(x0, U22(z0))) -> c58(ACTIVE(plus(mark(x0), active(U22(mark(z0))))), PLUS(mark(x0), mark(U22(z0))), MARK(x0), MARK(U22(z0)))
   MARK(plus(x0, U31(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(U31(mark(z0), z1)))), PLUS(mark(x0), mark(U31(z0, z1))), MARK(x0), MARK(U31(z0, z1)))
   MARK(plus(x0, U41(z0, z1, z2))) -> c58(ACTIVE(plus(mark(x0), active(U41(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U41(z0, z1, z2))), MARK(x0), MARK(U41(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c58(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, and(z0, z1))) -> c58(ACTIVE(plus(mark(x0), active(and(mark(z0), z1)))), PLUS(mark(x0), mark(and(z0, z1))), MARK(x0), MARK(and(z0, z1)))
   MARK(plus(x0, 0)) -> c58(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(x0, isNatKind(z0))) -> c58(ACTIVE(plus(mark(x0), active(isNatKind(z0)))), PLUS(mark(x0), mark(isNatKind(z0))), MARK(x0), MARK(isNatKind(z0)))
   MARK(plus(U11(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c58(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1), x1)) -> c58(ACTIVE(plus(active(U12(mark(z0), z1)), mark(x1))), PLUS(mark(U12(z0, z1)), mark(x1)), MARK(U12(z0, z1)), MARK(x1))
   MARK(plus(isNat(z0), x1)) -> c58(ACTIVE(plus(active(isNat(z0)), mark(x1))), PLUS(mark(isNat(z0)), mark(x1)), MARK(isNat(z0)), MARK(x1))
   MARK(plus(U13(z0), x1)) -> c58(ACTIVE(plus(active(U13(mark(z0))), mark(x1))), PLUS(mark(U13(z0)), mark(x1)), MARK(U13(z0)), MARK(x1))
   MARK(plus(U21(z0, z1), x1)) -> c58(ACTIVE(plus(active(U21(mark(z0), z1)), mark(x1))), PLUS(mark(U21(z0, z1)), mark(x1)), MARK(U21(z0, z1)), MARK(x1))
   MARK(plus(U22(z0), x1)) -> c58(ACTIVE(plus(active(U22(mark(z0))), mark(x1))), PLUS(mark(U22(z0)), mark(x1)), MARK(U22(z0)), MARK(x1))
   MARK(plus(U31(z0, z1), x1)) -> c58(ACTIVE(plus(active(U31(mark(z0), z1)), mark(x1))), PLUS(mark(U31(z0, z1)), mark(x1)), MARK(U31(z0, z1)), MARK(x1))
   MARK(plus(U41(z0, z1, z2), x1)) -> c58(ACTIVE(plus(active(U41(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U41(z0, z1, z2)), mark(x1)), MARK(U41(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c58(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c58(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(and(z0, z1), x1)) -> c58(ACTIVE(plus(active(and(mark(z0), z1)), mark(x1))), PLUS(mark(and(z0, z1)), mark(x1)), MARK(and(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c58(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(plus(isNatKind(z0), x1)) -> c58(ACTIVE(plus(active(isNatKind(z0)), mark(x1))), PLUS(mark(isNatKind(z0)), mark(x1)), MARK(isNatKind(z0)), MARK(x1))
   MARK(and(z0, z1)) -> c59(ACTIVE(and(z0, z1)), AND(mark(z0), z1), MARK(z0))
   MARK(and(U11(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U11(mark(z0), z1, z2)), x1)), AND(mark(U11(z0, z1, z2)), x1), MARK(U11(z0, z1, z2)))
   MARK(and(tt, x1)) -> c59(ACTIVE(and(active(tt), x1)), AND(mark(tt), x1), MARK(tt))
   MARK(and(U12(z0, z1), x1)) -> c59(ACTIVE(and(active(U12(mark(z0), z1)), x1)), AND(mark(U12(z0, z1)), x1), MARK(U12(z0, z1)))
   MARK(and(isNat(z0), x1)) -> c59(ACTIVE(and(active(isNat(z0)), x1)), AND(mark(isNat(z0)), x1), MARK(isNat(z0)))
   MARK(and(U13(z0), x1)) -> c59(ACTIVE(and(active(U13(mark(z0))), x1)), AND(mark(U13(z0)), x1), MARK(U13(z0)))
   MARK(and(U21(z0, z1), x1)) -> c59(ACTIVE(and(active(U21(mark(z0), z1)), x1)), AND(mark(U21(z0, z1)), x1), MARK(U21(z0, z1)))
   MARK(and(U22(z0), x1)) -> c59(ACTIVE(and(active(U22(mark(z0))), x1)), AND(mark(U22(z0)), x1), MARK(U22(z0)))
   MARK(and(U31(z0, z1), x1)) -> c59(ACTIVE(and(active(U31(mark(z0), z1)), x1)), AND(mark(U31(z0, z1)), x1), MARK(U31(z0, z1)))
   MARK(and(U41(z0, z1, z2), x1)) -> c59(ACTIVE(and(active(U41(mark(z0), z1, z2)), x1)), AND(mark(U41(z0, z1, z2)), x1), MARK(U41(z0, z1, z2)))
   MARK(and(s(z0), x1)) -> c59(ACTIVE(and(active(s(mark(z0))), x1)), AND(mark(s(z0)), x1), MARK(s(z0)))
   MARK(and(plus(z0, z1), x1)) -> c59(ACTIVE(and(active(plus(mark(z0), mark(z1))), x1)), AND(mark(plus(z0, z1)), x1), MARK(plus(z0, z1)))
   MARK(and(and(z0, z1), x1)) -> c59(ACTIVE(and(active(and(mark(z0), z1)), x1)), AND(mark(and(z0, z1)), x1), MARK(and(z0, z1)))
   MARK(and(0, x1)) -> c59(ACTIVE(and(active(0), x1)), AND(mark(0), x1), MARK(0))
   MARK(and(isNatKind(z0), x1)) -> c59(ACTIVE(and(active(isNatKind(z0)), x1)), AND(mark(isNatKind(z0)), x1), MARK(isNatKind(z0)))
   MARK(and(x0, x1)) -> c59(AND(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_2, U41_3, s_1, plus_2, and_2, isNatKind_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_2, U41'_3, S_1, PLUS_2, AND_2, ISNATKIND_1, ENCODE_U13_1, ENCODE_U21_2, ENCODE_U22_1, ENCODE_U31_2, ENCODE_U41_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_2, ENCODE_ISNAT_1

Compound Symbols:   c32_3, c34_1, c36_1, c37_1, c39_1, c40_1, c43_1, c45_2, c51_2, c61_2, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c73_1, c74_1, c75_1, c76_1, c77_1, c78_1, c79_1, c80_1, c81_1, c82_1, c83_1, c84_1, c85_1, c86_1, c87_1, c88_1, c89_1, c90_1, c91_1, c92_1, c93_1, c94_1, c95_1, c96_1, c97_1, c98_1, c99_1, c100_1, c101_1, c102_1, c103_1, c33_2, c35_2, c38_2, c41_3, c42_2, c44_3, c46_3, c47_5, c49, c60, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_3, c8_2, c9_2, c10_3, c10_2, c11_4, c11_3, c12_2, c13_3, c13_2, c14_3, c14_2, c15_2, c48_3, c48_1, c50_3, c50_1, c52_3, c53_3, c53_1, c54_3, c55_3, c55_1, c56_3, c56_1, c57_3, c57_2, c58_4, c59_3, c59_1