/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 1024 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) CompletionProof [UPPER BOUND(ID), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 48 ms] (26) CpxRNTS (27) CpxTrsToCdtProof [UPPER BOUND(ID), 41 ms] (28) CdtProblem (29) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 6 ms] (30) CdtProblem (31) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 9 ms] (32) CdtProblem (33) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 20 ms] (34) CdtProblem (35) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (36) CdtProblem (37) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 167 ms] (38) CdtProblem (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 52 ms] (40) CdtProblem (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 37 ms] (44) CdtProblem (45) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 241 ms] (48) CdtProblem (49) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 202 ms] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 19 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 109 ms] (56) CdtProblem (57) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 22 ms] (58) CdtProblem (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 104 ms] (60) CdtProblem (61) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 300 ms] (64) CdtProblem (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 108 ms] (68) CdtProblem (69) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 5 ms] (70) CdtProblem (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 711 ms] (72) CdtProblem (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 61 ms] (74) CdtProblem (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 476 ms] (76) CdtProblem (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 64 ms] (78) CdtProblem (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 202 ms] (80) CdtProblem (81) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 42 ms] (82) CdtProblem (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 535 ms] (84) CdtProblem (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 61 ms] (86) CdtProblem (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1127 ms] (88) CdtProblem (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 67 ms] (90) CdtProblem (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 291 ms] (92) CdtProblem (93) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 114 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 695 ms] (96) CdtProblem (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 107 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 338 ms] (100) CdtProblem (101) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 139 ms] (102) CdtProblem (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1469 ms] (104) CdtProblem (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 214 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 919 ms] (108) CdtProblem (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 174 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 978 ms] (112) CdtProblem (113) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 171 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 465 ms] (116) CdtProblem (117) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 220 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 231 ms] (120) CdtProblem (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 233 ms] (122) CdtProblem (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 261 ms] (124) 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0) -> active(0) mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0 encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0) -> active(0) mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0 encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0) -> active(0) mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0 encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0') active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0')) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0')) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0')) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0') -> active(0') mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0' encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0') active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0')) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0')) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0')) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0') -> active(0') mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0' encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U33 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U33 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U33 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind ---------------------------------------- (9) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: active, mark, U12, isNat, U13, U22, U32, U33, s, plus, x, U11, and, isNatKind, U21, U31, U41, U51, U61, U71, encArg They will be analysed ascendingly in the following order: active = mark U12 < active isNat < active U13 < active U22 < active U32 < active U33 < active s < active plus < active x < active U11 < active and < active isNatKind < active U21 < active U31 < active U41 < active U51 < active U61 < active U71 < active active < encArg U12 < mark isNat < mark U13 < mark U22 < mark U32 < mark U33 < mark s < mark plus < mark x < mark U11 < mark and < mark isNatKind < mark U21 < mark U31 < mark U41 < mark U51 < mark U61 < mark U71 < mark mark < encArg U12 < encArg isNat < encArg U13 < encArg U22 < encArg U32 < encArg U33 < encArg s < encArg plus < encArg x < encArg U11 < encArg and < encArg isNatKind < encArg U21 < encArg U31 < encArg U41 < encArg U51 < encArg U61 < encArg U71 < 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0') active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0')) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0')) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0')) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0') -> active(0') mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0' encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U33 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U33 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U32 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U33 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U51 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U61 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U71 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x: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_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind2_4(x)) The following defined symbols remain to be analysed: U12, active, mark, isNat, U13, U22, U32, U33, s, plus, x, U11, and, isNatKind, U21, U31, U41, U51, U61, U71, encArg They will be analysed ascendingly in the following order: active = mark U12 < active isNat < active U13 < active U22 < active U32 < active U33 < active s < active plus < active x < active U11 < active and < active isNatKind < active U21 < active U31 < active U41 < active U51 < active U61 < active U71 < active active < encArg U12 < mark isNat < mark U13 < mark U22 < mark U32 < mark U33 < mark s < mark plus < mark x < mark U11 < mark and < mark isNatKind < mark U21 < mark U31 < mark U41 < mark U51 < mark U61 < mark U71 < mark mark < encArg U12 < encArg isNat < encArg U13 < encArg U22 < encArg U32 < encArg U33 < encArg s < encArg plus < encArg x < encArg U11 < encArg and < encArg isNatKind < encArg U21 < encArg U31 < encArg U41 < encArg U51 < encArg U61 < encArg U71 < 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0) -> active(0) mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0 encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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, V1, V2)) -> mark(U32(isNat(V1), V2)) active(U32(tt, V2)) -> mark(U33(isNat(V2))) active(U33(tt)) -> mark(tt) active(U41(tt, N)) -> mark(N) active(U51(tt, M, N)) -> mark(s(plus(N, M))) active(U61(tt)) -> mark(0) active(U71(tt, M, N)) -> mark(plus(x(N, M), N)) 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(isNat(x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(isNatKind(s(V1))) -> mark(isNatKind(V1)) active(isNatKind(x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) active(plus(N, s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) active(x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) active(x(N, s(M))) -> mark(U71(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, X3)) -> active(U31(mark(X1), X2, X3)) mark(U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(U33(X)) -> active(U33(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) mark(U61(X)) -> active(U61(mark(X))) mark(0) -> active(0) mark(U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) mark(x(X1, X2)) -> active(x(mark(X1), mark(X2))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) 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, X3) -> U31(X1, X2, X3) U31(X1, mark(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, mark(X3)) -> U31(X1, X2, X3) U31(active(X1), X2, X3) -> U31(X1, X2, X3) U31(X1, active(X2), X3) -> U31(X1, X2, X3) U31(X1, X2, active(X3)) -> U31(X1, X2, X3) U32(mark(X1), X2) -> U32(X1, X2) U32(X1, mark(X2)) -> U32(X1, X2) U32(active(X1), X2) -> U32(X1, X2) U32(X1, active(X2)) -> U32(X1, X2) U33(mark(X)) -> U33(X) U33(active(X)) -> U33(X) U41(mark(X1), X2) -> U41(X1, X2) U41(X1, mark(X2)) -> U41(X1, X2) U41(active(X1), X2) -> U41(X1, X2) U41(X1, active(X2)) -> U41(X1, X2) U51(mark(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, mark(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, mark(X3)) -> U51(X1, X2, X3) U51(active(X1), X2, X3) -> U51(X1, X2, X3) U51(X1, active(X2), X3) -> U51(X1, X2, X3) U51(X1, X2, active(X3)) -> U51(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) U61(mark(X)) -> U61(X) U61(active(X)) -> U61(X) U71(mark(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, mark(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, mark(X3)) -> U71(X1, X2, X3) U71(active(X1), X2, X3) -> U71(X1, X2, X3) U71(X1, active(X2), X3) -> U71(X1, X2, X3) U71(X1, X2, active(X3)) -> U71(X1, X2, X3) x(mark(X1), X2) -> x(X1, X2) x(X1, mark(X2)) -> x(X1, X2) x(active(X1), X2) -> x(X1, X2) x(X1, active(X2)) -> x(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0 encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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))) U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) active(c_isNatKind(0)) -> mark(tt) active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) mark(c_isNatKind(X)) -> active(isNatKind(X)) U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) active(c_U31(tt, V1, V2)) -> mark(U32(isNat(V1), V2)) U31(c_mark(X1), X2, X3) -> U31(X1, X2, X3) active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) U21(X1, c_active(X2)) -> U21(X1, X2) U22(c_active(X)) -> U22(X) U41(X1, c_active(X2)) -> U41(X1, X2) x(c_active(X1), X2) -> x(X1, X2) U12(c_mark(X1), X2) -> U12(X1, X2) U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) active(c_U61(tt)) -> mark(0) U32(X1, c_active(X2)) -> U32(X1, X2) U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) active(c_U33(tt)) -> mark(tt) U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) U61(c_active(X)) -> U61(X) U32(c_mark(X1), X2) -> U32(X1, X2) mark(c_U31(X1, X2, X3)) -> active(U31(mark(X1), X2, X3)) U31(X1, X2, c_active(X3)) -> U31(X1, X2, X3) U31(X1, X2, c_mark(X3)) -> U31(X1, X2, X3) U13(c_active(X)) -> U13(X) active(c_U13(tt)) -> mark(tt) isNat(c_mark(X)) -> isNat(X) x(X1, c_mark(X2)) -> x(X1, X2) active(c_U32(tt, V2)) -> mark(U33(isNat(V2))) active(c_plus(N, c_s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) plus(c_active(X1), X2) -> plus(X1, X2) mark(c_s(X)) -> active(s(mark(X))) x(c_mark(X1), X2) -> x(X1, X2) active(c_isNat(c_x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) U41(c_mark(X1), X2) -> U41(X1, X2) mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) U12(X1, c_active(X2)) -> U12(X1, X2) active(c_U51(tt, M, N)) -> mark(s(plus(N, M))) mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) mark(c_U61(X)) -> active(U61(mark(X))) U31(c_active(X1), X2, X3) -> U31(X1, X2, X3) plus(c_mark(X1), X2) -> plus(X1, X2) U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) active(c_and(tt, X)) -> 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) U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) mark(c_U32(X1, X2)) -> active(U32(mark(X1), X2)) mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) and(X1, c_active(X2)) -> and(X1, X2) U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) isNat(c_active(X)) -> isNat(X) U32(c_active(X1), X2) -> U32(X1, X2) U13(c_mark(X)) -> U13(X) U21(c_active(X1), X2) -> U21(X1, X2) active(c_isNatKind(c_x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) U31(X1, c_mark(X2), X3) -> U31(X1, X2, X3) active(c_x(N, c_s(M))) -> mark(U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) U32(X1, c_mark(X2)) -> U32(X1, X2) U71(X1, X2, c_active(X3)) -> U71(X1, X2, X3) mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) U51(X1, c_mark(X2), X3) -> U51(X1, X2, X3) active(c_plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) U22(c_mark(X)) -> U22(X) 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) U41(c_active(X1), X2) -> U41(X1, X2) mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) active(c_U22(tt)) -> mark(tt) active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) x(X1, c_active(X2)) -> x(X1, X2) U61(c_mark(X)) -> U61(X) active(c_isNat(0)) -> mark(tt) plus(X1, c_mark(X2)) -> plus(X1, X2) U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) mark(c_U33(X)) -> active(U33(mark(X))) U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) active(c_U71(tt, M, N)) -> mark(plus(x(N, M), N)) U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) mark(c_U41(X1, X2)) -> active(U41(mark(X1), X2)) U41(X1, c_mark(X2)) -> U41(X1, X2) s(c_active(X)) -> s(X) and(c_active(X1), X2) -> and(X1, X2) isNatKind(c_mark(X)) -> isNatKind(X) U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) U21(c_mark(X1), X2) -> U21(X1, X2) U31(X1, c_active(X2), X3) -> U31(X1, X2, X3) mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) active(c_x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) s(c_mark(X)) -> s(X) U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) isNatKind(c_active(X)) -> isNatKind(X) U12(c_active(X1), X2) -> U12(X1, X2) active(c_U41(tt, N)) -> mark(N) mark(c_U13(X)) -> active(U13(mark(X))) and(c_mark(X1), X2) -> and(X1, X2) U33(c_mark(X)) -> U33(X) U33(c_active(X)) -> U33(X) mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) plus(X1, c_active(X2)) -> plus(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) encArg(cons_U33(x_1)) -> U33(encArg(x_1)) encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) encode_U33(x_1) -> U33(encArg(x_1)) encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) encode_0 -> 0 encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) 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, x2) -> c_U31(x0, x1, x2) U32(x0, x1) -> c_U32(x0, x1) U21(x0, x1) -> c_U21(x0, x1) x(x0, x1) -> c_x(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) -> c_U41(x0, x1) isNatKind(x0) -> c_isNatKind(x0) U22(x0) -> c_U22(x0) U71(x0, x1, x2) -> c_U71(x0, x1, x2) U51(x0, x1, x2) -> c_U51(x0, x1, x2) U33(x0) -> c_U33(x0) U13(x0) -> c_U13(x0) U61(x0) -> c_U61(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] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(0)) -> mark(tt) [1] active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1] mark(c_isNatKind(X)) -> active(isNatKind(X)) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] active(c_U31(tt, V1, V2)) -> mark(U32(isNat(V1), V2)) [1] U31(c_mark(X1), X2, X3) -> U31(X1, X2, X3) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1] U21(X1, c_active(X2)) -> U21(X1, X2) [1] U22(c_active(X)) -> U22(X) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] x(c_active(X1), X2) -> x(X1, X2) [1] U12(c_mark(X1), X2) -> U12(X1, X2) [1] U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1] active(c_U61(tt)) -> mark(0) [1] U32(X1, c_active(X2)) -> U32(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] active(c_U33(tt)) -> mark(tt) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U61(c_active(X)) -> U61(X) [1] U32(c_mark(X1), X2) -> U32(X1, X2) [1] mark(c_U31(X1, X2, X3)) -> active(U31(mark(X1), X2, X3)) [1] U31(X1, X2, c_active(X3)) -> U31(X1, X2, X3) [1] U31(X1, X2, c_mark(X3)) -> U31(X1, X2, X3) [1] U13(c_active(X)) -> U13(X) [1] active(c_U13(tt)) -> mark(tt) [1] isNat(c_mark(X)) -> isNat(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_U32(tt, V2)) -> mark(U33(isNat(V2))) [1] active(c_plus(N, c_s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] plus(c_active(X1), X2) -> plus(X1, X2) [1] mark(c_s(X)) -> active(s(mark(X))) [1] x(c_mark(X1), X2) -> x(X1, X2) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1] U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1] U41(c_mark(X1), X2) -> U41(X1, X2) [1] mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1] active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1] U12(X1, c_active(X2)) -> U12(X1, X2) [1] active(c_U51(tt, M, N)) -> mark(s(plus(N, M))) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U31(c_active(X1), X2, X3) -> U31(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] active(c_and(tt, X)) -> 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] U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1] mark(c_U32(X1, X2)) -> active(U32(mark(X1), X2)) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] and(X1, c_active(X2)) -> and(X1, X2) [1] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U32(c_active(X1), X2) -> U32(X1, X2) [1] U13(c_mark(X)) -> U13(X) [1] U21(c_active(X1), X2) -> U21(X1, X2) [1] active(c_isNatKind(c_x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] U31(X1, c_mark(X2), X3) -> U31(X1, X2, X3) [1] active(c_x(N, c_s(M))) -> mark(U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] U32(X1, c_mark(X2)) -> U32(X1, X2) [1] U71(X1, X2, c_active(X3)) -> U71(X1, X2, X3) [1] mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1] U51(X1, c_mark(X2), X3) -> U51(X1, X2, X3) [1] active(c_plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) [1] U22(c_mark(X)) -> U22(X) [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] U41(c_active(X1), X2) -> U41(X1, X2) [1] mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1] active(c_U22(tt)) -> mark(tt) [1] active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] U61(c_mark(X)) -> U61(X) [1] active(c_isNat(0)) -> mark(tt) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U33(X)) -> active(U33(mark(X))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [1] active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] active(c_U71(tt, M, N)) -> mark(plus(x(N, M), N)) [1] U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1] mark(c_U41(X1, X2)) -> active(U41(mark(X1), X2)) [1] U41(X1, c_mark(X2)) -> U41(X1, X2) [1] s(c_active(X)) -> s(X) [1] and(c_active(X1), X2) -> and(X1, X2) [1] isNatKind(c_mark(X)) -> isNatKind(X) [1] U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1] U21(c_mark(X1), X2) -> U21(X1, X2) [1] U31(X1, c_active(X2), X3) -> U31(X1, X2, X3) [1] mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1] active(c_x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] isNatKind(c_active(X)) -> isNatKind(X) [1] U12(c_active(X1), X2) -> U12(X1, X2) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_U13(X)) -> active(U13(mark(X))) [1] and(c_mark(X1), X2) -> and(X1, X2) [1] U33(c_mark(X)) -> U33(X) [1] U33(c_active(X)) -> U33(X) [1] mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1] plus(X1, c_active(X2)) -> plus(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) [0] encArg(cons_U33(x_1)) -> U33(encArg(x_1)) [0] encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) [0] encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) [0] encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) [0] encode_U33(x_1) -> U33(encArg(x_1)) [0] encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) [0] encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) [0] encode_0 -> 0 [0] encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [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, x2) -> c_U31(x0, x1, x2) [0] U32(x0, x1) -> c_U32(x0, x1) [0] U21(x0, x1) -> c_U21(x0, x1) [0] x(x0, x1) -> c_x(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) -> c_U41(x0, x1) [0] isNatKind(x0) -> c_isNatKind(x0) [0] U22(x0) -> c_U22(x0) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [0] U33(x0) -> c_U33(x0) [0] U13(x0) -> c_U13(x0) [0] U61(x0) -> c_U61(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] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(0)) -> mark(tt) [1] active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1] mark(c_isNatKind(X)) -> active(isNatKind(X)) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] active(c_U31(tt, V1, V2)) -> mark(U32(isNat(V1), V2)) [1] U31(c_mark(X1), X2, X3) -> U31(X1, X2, X3) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1] U21(X1, c_active(X2)) -> U21(X1, X2) [1] U22(c_active(X)) -> U22(X) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] x(c_active(X1), X2) -> x(X1, X2) [1] U12(c_mark(X1), X2) -> U12(X1, X2) [1] U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1] active(c_U61(tt)) -> mark(0) [1] U32(X1, c_active(X2)) -> U32(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] active(c_U33(tt)) -> mark(tt) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U61(c_active(X)) -> U61(X) [1] U32(c_mark(X1), X2) -> U32(X1, X2) [1] mark(c_U31(X1, X2, X3)) -> active(U31(mark(X1), X2, X3)) [1] U31(X1, X2, c_active(X3)) -> U31(X1, X2, X3) [1] U31(X1, X2, c_mark(X3)) -> U31(X1, X2, X3) [1] U13(c_active(X)) -> U13(X) [1] active(c_U13(tt)) -> mark(tt) [1] isNat(c_mark(X)) -> isNat(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_U32(tt, V2)) -> mark(U33(isNat(V2))) [1] active(c_plus(N, c_s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] plus(c_active(X1), X2) -> plus(X1, X2) [1] mark(c_s(X)) -> active(s(mark(X))) [1] x(c_mark(X1), X2) -> x(X1, X2) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1] U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1] U41(c_mark(X1), X2) -> U41(X1, X2) [1] mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1] active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1] U12(X1, c_active(X2)) -> U12(X1, X2) [1] active(c_U51(tt, M, N)) -> mark(s(plus(N, M))) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U31(c_active(X1), X2, X3) -> U31(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] active(c_and(tt, X)) -> 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] U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1] mark(c_U32(X1, X2)) -> active(U32(mark(X1), X2)) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] and(X1, c_active(X2)) -> and(X1, X2) [1] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U32(c_active(X1), X2) -> U32(X1, X2) [1] U13(c_mark(X)) -> U13(X) [1] U21(c_active(X1), X2) -> U21(X1, X2) [1] active(c_isNatKind(c_x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] U31(X1, c_mark(X2), X3) -> U31(X1, X2, X3) [1] active(c_x(N, c_s(M))) -> mark(U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] U32(X1, c_mark(X2)) -> U32(X1, X2) [1] U71(X1, X2, c_active(X3)) -> U71(X1, X2, X3) [1] mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1] U51(X1, c_mark(X2), X3) -> U51(X1, X2, X3) [1] active(c_plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) [1] U22(c_mark(X)) -> U22(X) [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] U41(c_active(X1), X2) -> U41(X1, X2) [1] mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1] active(c_U22(tt)) -> mark(tt) [1] active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] U61(c_mark(X)) -> U61(X) [1] active(c_isNat(0)) -> mark(tt) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U33(X)) -> active(U33(mark(X))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [1] active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] active(c_U71(tt, M, N)) -> mark(plus(x(N, M), N)) [1] U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1] mark(c_U41(X1, X2)) -> active(U41(mark(X1), X2)) [1] U41(X1, c_mark(X2)) -> U41(X1, X2) [1] s(c_active(X)) -> s(X) [1] and(c_active(X1), X2) -> and(X1, X2) [1] isNatKind(c_mark(X)) -> isNatKind(X) [1] U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1] U21(c_mark(X1), X2) -> U21(X1, X2) [1] U31(X1, c_active(X2), X3) -> U31(X1, X2, X3) [1] mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1] active(c_x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] isNatKind(c_active(X)) -> isNatKind(X) [1] U12(c_active(X1), X2) -> U12(X1, X2) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_U13(X)) -> active(U13(mark(X))) [1] and(c_mark(X1), X2) -> and(X1, X2) [1] U33(c_mark(X)) -> U33(X) [1] U33(c_active(X)) -> U33(X) [1] mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1] plus(X1, c_active(X2)) -> plus(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) [0] encArg(cons_U33(x_1)) -> U33(encArg(x_1)) [0] encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) [0] encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) [0] encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) [0] encode_U33(x_1) -> U33(encArg(x_1)) [0] encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) [0] encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) [0] encode_0 -> 0 [0] encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [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, x2) -> c_U31(x0, x1, x2) [0] U32(x0, x1) -> c_U32(x0, x1) [0] U21(x0, x1) -> c_U21(x0, x1) [0] x(x0, x1) -> c_x(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) -> c_U41(x0, x1) [0] isNatKind(x0) -> c_isNatKind(x0) [0] U22(x0) -> c_U22(x0) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [0] U33(x0) -> c_U33(x0) [0] U13(x0) -> c_U13(x0) [0] U61(x0) -> c_U61(x0) [0] mark(x0) -> c_mark(x0) [0] The TRS has the following type information: mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind tt :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind active :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind 0 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U71 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_active :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_isNatKind :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U21 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind isNatKind :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U31 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U32 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U31 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_s :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U21 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U41 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind x :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U12 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U11 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U61 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U51 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U33 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U71 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U61 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U13 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U13 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U32 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind U33 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_plus :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind and :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind plus :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind s :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_x :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_and :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U12 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U51 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U11 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind c_U41 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encArg :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_active :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U11 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U12 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U13 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U21 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U31 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U32 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U33 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U41 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U51 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_s :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_plus :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U61 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_U71 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_x :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_and :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind cons_isNatKind :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_active :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U11 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_tt :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U12 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U13 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U21 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U31 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U32 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U33 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U41 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U51 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_s :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_plus :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U61 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_0 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_U71 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_x :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_and :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind encode_isNatKind :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind Rewrite Strategy: INNERMOST ---------------------------------------- (21) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: encArg_1 encode_active_1 encode_U11_3 encode_tt encode_mark_1 encode_U12_2 encode_isNat_1 encode_U13_1 encode_U21_2 encode_U22_1 encode_U31_3 encode_U32_2 encode_U33_1 encode_U41_2 encode_U51_3 encode_s_1 encode_plus_2 encode_U61_1 encode_0 encode_U71_3 encode_x_2 encode_and_2 encode_isNatKind_1 isNat_1 plus_2 U12_2 U31_3 U32_2 U21_2 x_2 and_2 U11_3 s_1 active_1 U41_2 isNatKind_1 U22_1 U71_3 U51_3 U33_1 U13_1 U61_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, v2) -> null_encode_U31 [0] encode_U32(v0, v1) -> null_encode_U32 [0] encode_U33(v0) -> null_encode_U33 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_s(v0) -> null_encode_s [0] encode_plus(v0, v1) -> null_encode_plus [0] encode_U61(v0) -> null_encode_U61 [0] encode_0 -> null_encode_0 [0] encode_U71(v0, v1, v2) -> null_encode_U71 [0] encode_x(v0, v1) -> null_encode_x [0] encode_and(v0, v1) -> null_encode_and [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, v2) -> null_U31 [0] U32(v0, v1) -> null_U32 [0] U21(v0, v1) -> null_U21 [0] x(v0, v1) -> null_x [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) -> null_U41 [0] isNatKind(v0) -> null_isNatKind [0] U22(v0) -> null_U22 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [0] U33(v0) -> null_U33 [0] U13(v0) -> null_U13 [0] U61(v0) -> null_U61 [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_U32, null_encode_U33, null_encode_U41, null_encode_U51, null_encode_s, null_encode_plus, null_encode_U61, null_encode_0, null_encode_U71, null_encode_x, null_encode_and, null_encode_isNatKind, null_isNat, null_plus, null_U12, null_U31, null_U32, null_U21, null_x, null_and, null_U11, null_s, null_active, null_U41, null_isNatKind, null_U22, null_U71, null_U51, null_U33, null_U13, null_U61, null_mark ---------------------------------------- (22) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: mark(tt) -> active(tt) [1] mark(0) -> active(0) [1] mark(c_U22(X)) -> active(U22(mark(X))) [1] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(0)) -> mark(tt) [1] active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1] mark(c_isNatKind(X)) -> active(isNatKind(X)) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] active(c_U31(tt, V1, V2)) -> mark(U32(isNat(V1), V2)) [1] U31(c_mark(X1), X2, X3) -> U31(X1, X2, X3) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1] U21(X1, c_active(X2)) -> U21(X1, X2) [1] U22(c_active(X)) -> U22(X) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] x(c_active(X1), X2) -> x(X1, X2) [1] U12(c_mark(X1), X2) -> U12(X1, X2) [1] U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1] active(c_U61(tt)) -> mark(0) [1] U32(X1, c_active(X2)) -> U32(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] active(c_U33(tt)) -> mark(tt) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U61(c_active(X)) -> U61(X) [1] U32(c_mark(X1), X2) -> U32(X1, X2) [1] mark(c_U31(X1, X2, X3)) -> active(U31(mark(X1), X2, X3)) [1] U31(X1, X2, c_active(X3)) -> U31(X1, X2, X3) [1] U31(X1, X2, c_mark(X3)) -> U31(X1, X2, X3) [1] U13(c_active(X)) -> U13(X) [1] active(c_U13(tt)) -> mark(tt) [1] isNat(c_mark(X)) -> isNat(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_U32(tt, V2)) -> mark(U33(isNat(V2))) [1] active(c_plus(N, c_s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] plus(c_active(X1), X2) -> plus(X1, X2) [1] mark(c_s(X)) -> active(s(mark(X))) [1] x(c_mark(X1), X2) -> x(X1, X2) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1] U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1] U41(c_mark(X1), X2) -> U41(X1, X2) [1] mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1] active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1] U12(X1, c_active(X2)) -> U12(X1, X2) [1] active(c_U51(tt, M, N)) -> mark(s(plus(N, M))) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U31(c_active(X1), X2, X3) -> U31(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] active(c_and(tt, X)) -> 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] U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1] mark(c_U32(X1, X2)) -> active(U32(mark(X1), X2)) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] and(X1, c_active(X2)) -> and(X1, X2) [1] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U32(c_active(X1), X2) -> U32(X1, X2) [1] U13(c_mark(X)) -> U13(X) [1] U21(c_active(X1), X2) -> U21(X1, X2) [1] active(c_isNatKind(c_x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] U31(X1, c_mark(X2), X3) -> U31(X1, X2, X3) [1] active(c_x(N, c_s(M))) -> mark(U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] U32(X1, c_mark(X2)) -> U32(X1, X2) [1] U71(X1, X2, c_active(X3)) -> U71(X1, X2, X3) [1] mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1] U51(X1, c_mark(X2), X3) -> U51(X1, X2, X3) [1] active(c_plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) [1] U22(c_mark(X)) -> U22(X) [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] U41(c_active(X1), X2) -> U41(X1, X2) [1] mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1] active(c_U22(tt)) -> mark(tt) [1] active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] U61(c_mark(X)) -> U61(X) [1] active(c_isNat(0)) -> mark(tt) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U33(X)) -> active(U33(mark(X))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [1] active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] active(c_U71(tt, M, N)) -> mark(plus(x(N, M), N)) [1] U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1] mark(c_U41(X1, X2)) -> active(U41(mark(X1), X2)) [1] U41(X1, c_mark(X2)) -> U41(X1, X2) [1] s(c_active(X)) -> s(X) [1] and(c_active(X1), X2) -> and(X1, X2) [1] isNatKind(c_mark(X)) -> isNatKind(X) [1] U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1] U21(c_mark(X1), X2) -> U21(X1, X2) [1] U31(X1, c_active(X2), X3) -> U31(X1, X2, X3) [1] mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1] active(c_x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] isNatKind(c_active(X)) -> isNatKind(X) [1] U12(c_active(X1), X2) -> U12(X1, X2) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_U13(X)) -> active(U13(mark(X))) [1] and(c_mark(X1), X2) -> and(X1, X2) [1] U33(c_mark(X)) -> U33(X) [1] U33(c_active(X)) -> U33(X) [1] mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1] plus(X1, c_active(X2)) -> plus(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) [0] encArg(cons_U33(x_1)) -> U33(encArg(x_1)) [0] encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) [0] encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) [0] encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) [0] encode_U33(x_1) -> U33(encArg(x_1)) [0] encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) [0] encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) [0] encode_0 -> 0 [0] encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [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, x2) -> c_U31(x0, x1, x2) [0] U32(x0, x1) -> c_U32(x0, x1) [0] U21(x0, x1) -> c_U21(x0, x1) [0] x(x0, x1) -> c_x(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) -> c_U41(x0, x1) [0] isNatKind(x0) -> c_isNatKind(x0) [0] U22(x0) -> c_U22(x0) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [0] U33(x0) -> c_U33(x0) [0] U13(x0) -> c_U13(x0) [0] U61(x0) -> c_U61(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, v2) -> null_encode_U31 [0] encode_U32(v0, v1) -> null_encode_U32 [0] encode_U33(v0) -> null_encode_U33 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_s(v0) -> null_encode_s [0] encode_plus(v0, v1) -> null_encode_plus [0] encode_U61(v0) -> null_encode_U61 [0] encode_0 -> null_encode_0 [0] encode_U71(v0, v1, v2) -> null_encode_U71 [0] encode_x(v0, v1) -> null_encode_x [0] encode_and(v0, v1) -> null_encode_and [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, v2) -> null_U31 [0] U32(v0, v1) -> null_U32 [0] U21(v0, v1) -> null_U21 [0] x(v0, v1) -> null_x [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) -> null_U41 [0] isNatKind(v0) -> null_isNatKind [0] U22(v0) -> null_U22 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [0] U33(v0) -> null_U33 [0] U13(v0) -> null_U13 [0] U61(v0) -> null_U61 [0] mark(v0) -> null_mark [0] The TRS has the following type information: mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark tt :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark active :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark 0 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark c_U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark U71 :: 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_and :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_isNatKind :: 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encArg :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_active :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U11 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_tt :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U12 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U13 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U21 :: 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark Rewrite Strategy: INNERMOST ---------------------------------------- (23) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: encArg(v0) -> null_encArg [0] encode_active(v0) -> null_encode_active [0] encode_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, v2) -> null_encode_U31 [0] encode_U32(v0, v1) -> null_encode_U32 [0] encode_U33(v0) -> null_encode_U33 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_s(v0) -> null_encode_s [0] encode_plus(v0, v1) -> null_encode_plus [0] encode_U61(v0) -> null_encode_U61 [0] encode_0 -> null_encode_0 [0] encode_U71(v0, v1, v2) -> null_encode_U71 [0] encode_x(v0, v1) -> null_encode_x [0] encode_and(v0, v1) -> null_encode_and [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, v2) -> null_U31 [0] U32(v0, v1) -> null_U32 [0] U21(v0, v1) -> null_U21 [0] x(v0, v1) -> null_x [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) -> null_U41 [0] isNatKind(v0) -> null_isNatKind [0] U22(v0) -> null_U22 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [0] U33(v0) -> null_U33 [0] U13(v0) -> null_U13 [0] U61(v0) -> null_U61 [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_U32, null_encode_U33, null_encode_U41, null_encode_U51, null_encode_s, null_encode_plus, null_encode_U61, null_encode_0, null_encode_U71, null_encode_x, null_encode_and, null_encode_isNatKind, null_isNat, null_plus, null_U12, null_U31, null_U32, null_U21, null_x, null_and, null_U11, null_s, null_active, null_U41, null_isNatKind, null_U22, null_U71, null_U51, null_U33, null_U13, null_U61, null_mark ---------------------------------------- (24) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: mark(tt) -> active(tt) [1] mark(0) -> active(0) [1] mark(c_U22(X)) -> active(U22(mark(X))) [1] U71(X1, c_active(X2), X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(0)) -> mark(tt) [1] active(c_U21(tt, V1)) -> mark(U22(isNat(V1))) [1] mark(c_isNatKind(X)) -> active(isNatKind(X)) [1] U71(X1, X2, c_mark(X3)) -> U71(X1, X2, X3) [1] active(c_U31(tt, V1, V2)) -> mark(U32(isNat(V1), V2)) [1] U31(c_mark(X1), X2, X3) -> U31(X1, X2, X3) [1] active(c_isNat(c_s(V1))) -> mark(U21(isNatKind(V1), V1)) [1] U21(X1, c_active(X2)) -> U21(X1, X2) [1] U22(c_active(X)) -> U22(X) [1] U41(X1, c_active(X2)) -> U41(X1, X2) [1] x(c_active(X1), X2) -> x(X1, X2) [1] U12(c_mark(X1), X2) -> U12(X1, X2) [1] U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1] active(c_U61(tt)) -> mark(0) [1] U32(X1, c_active(X2)) -> U32(X1, X2) [1] U51(X1, c_active(X2), X3) -> U51(X1, X2, X3) [1] active(c_U33(tt)) -> mark(tt) [1] U51(c_mark(X1), X2, X3) -> U51(X1, X2, X3) [1] mark(c_U71(X1, X2, X3)) -> active(U71(mark(X1), X2, X3)) [1] U61(c_active(X)) -> U61(X) [1] U32(c_mark(X1), X2) -> U32(X1, X2) [1] mark(c_U31(X1, X2, X3)) -> active(U31(mark(X1), X2, X3)) [1] U31(X1, X2, c_active(X3)) -> U31(X1, X2, X3) [1] U31(X1, X2, c_mark(X3)) -> U31(X1, X2, X3) [1] U13(c_active(X)) -> U13(X) [1] active(c_U13(tt)) -> mark(tt) [1] isNat(c_mark(X)) -> isNat(X) [1] x(X1, c_mark(X2)) -> x(X1, X2) [1] active(c_U32(tt, V2)) -> mark(U33(isNat(V2))) [1] active(c_plus(N, c_s(M))) -> mark(U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] plus(c_active(X1), X2) -> plus(X1, X2) [1] mark(c_s(X)) -> active(s(mark(X))) [1] x(c_mark(X1), X2) -> x(X1, X2) [1] active(c_isNat(c_x(V1, V2))) -> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) [1] U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1] U41(c_mark(X1), X2) -> U41(X1, X2) [1] mark(c_and(X1, X2)) -> active(and(mark(X1), X2)) [1] active(c_U12(tt, V2)) -> mark(U13(isNat(V2))) [1] U12(X1, c_active(X2)) -> U12(X1, X2) [1] active(c_U51(tt, M, N)) -> mark(s(plus(N, M))) [1] mark(c_U51(X1, X2, X3)) -> active(U51(mark(X1), X2, X3)) [1] mark(c_U61(X)) -> active(U61(mark(X))) [1] U31(c_active(X1), X2, X3) -> U31(X1, X2, X3) [1] plus(c_mark(X1), X2) -> plus(X1, X2) [1] U71(X1, c_mark(X2), X3) -> U71(X1, X2, X3) [1] active(c_and(tt, X)) -> 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] U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1] mark(c_U32(X1, X2)) -> active(U32(mark(X1), X2)) [1] mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1] and(X1, c_active(X2)) -> and(X1, X2) [1] U51(c_active(X1), X2, X3) -> U51(X1, X2, X3) [1] isNat(c_active(X)) -> isNat(X) [1] U32(c_active(X1), X2) -> U32(X1, X2) [1] U13(c_mark(X)) -> U13(X) [1] U21(c_active(X1), X2) -> U21(X1, X2) [1] active(c_isNatKind(c_x(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] U31(X1, c_mark(X2), X3) -> U31(X1, X2, X3) [1] active(c_x(N, c_s(M))) -> mark(U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))), M, N)) [1] U32(X1, c_mark(X2)) -> U32(X1, X2) [1] U71(X1, X2, c_active(X3)) -> U71(X1, X2, X3) [1] mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1] U51(X1, c_mark(X2), X3) -> U51(X1, X2, X3) [1] active(c_plus(N, 0)) -> mark(U41(and(isNat(N), isNatKind(N)), N)) [1] U22(c_mark(X)) -> U22(X) [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] U41(c_active(X1), X2) -> U41(X1, X2) [1] mark(c_U12(X1, X2)) -> active(U12(mark(X1), X2)) [1] active(c_U22(tt)) -> mark(tt) [1] active(c_U11(tt, V1, V2)) -> mark(U12(isNat(V1), V2)) [1] x(X1, c_active(X2)) -> x(X1, X2) [1] U61(c_mark(X)) -> U61(X) [1] active(c_isNat(0)) -> mark(tt) [1] plus(X1, c_mark(X2)) -> plus(X1, X2) [1] U71(c_mark(X1), X2, X3) -> U71(X1, X2, X3) [1] mark(c_U33(X)) -> active(U33(mark(X))) [1] U51(X1, X2, c_active(X3)) -> U51(X1, X2, X3) [1] active(c_isNatKind(c_plus(V1, V2))) -> mark(and(isNatKind(V1), isNatKind(V2))) [1] active(c_U71(tt, M, N)) -> mark(plus(x(N, M), N)) [1] U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1] mark(c_U41(X1, X2)) -> active(U41(mark(X1), X2)) [1] U41(X1, c_mark(X2)) -> U41(X1, X2) [1] s(c_active(X)) -> s(X) [1] and(c_active(X1), X2) -> and(X1, X2) [1] isNatKind(c_mark(X)) -> isNatKind(X) [1] U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1] U21(c_mark(X1), X2) -> U21(X1, X2) [1] U31(X1, c_active(X2), X3) -> U31(X1, X2, X3) [1] mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1] active(c_x(N, 0)) -> mark(U61(and(isNat(N), isNatKind(N)))) [1] s(c_mark(X)) -> s(X) [1] U71(c_active(X1), X2, X3) -> U71(X1, X2, X3) [1] active(c_isNatKind(c_s(V1))) -> mark(isNatKind(V1)) [1] U51(X1, X2, c_mark(X3)) -> U51(X1, X2, X3) [1] isNatKind(c_active(X)) -> isNatKind(X) [1] U12(c_active(X1), X2) -> U12(X1, X2) [1] active(c_U41(tt, N)) -> mark(N) [1] mark(c_U13(X)) -> active(U13(mark(X))) [1] and(c_mark(X1), X2) -> and(X1, X2) [1] U33(c_mark(X)) -> U33(X) [1] U33(c_active(X)) -> U33(X) [1] mark(c_U21(X1, X2)) -> active(U21(mark(X1), X2)) [1] plus(X1, c_active(X2)) -> plus(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, x_3)) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_U32(x_1, x_2)) -> U32(encArg(x_1), encArg(x_2)) [0] encArg(cons_U33(x_1)) -> U33(encArg(x_1)) [0] encArg(cons_U41(x_1, x_2)) -> U41(encArg(x_1), encArg(x_2)) [0] encArg(cons_U51(x_1, x_2, x_3)) -> U51(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_U61(x_1)) -> U61(encArg(x_1)) [0] encArg(cons_U71(x_1, x_2, x_3)) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encArg(cons_x(x_1, x_2)) -> x(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, x_3) -> U31(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_U32(x_1, x_2) -> U32(encArg(x_1), encArg(x_2)) [0] encode_U33(x_1) -> U33(encArg(x_1)) [0] encode_U41(x_1, x_2) -> U41(encArg(x_1), encArg(x_2)) [0] encode_U51(x_1, x_2, x_3) -> U51(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_U61(x_1) -> U61(encArg(x_1)) [0] encode_0 -> 0 [0] encode_U71(x_1, x_2, x_3) -> U71(encArg(x_1), encArg(x_2), encArg(x_3)) [0] encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0] encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) [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, x2) -> c_U31(x0, x1, x2) [0] U32(x0, x1) -> c_U32(x0, x1) [0] U21(x0, x1) -> c_U21(x0, x1) [0] x(x0, x1) -> c_x(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) -> c_U41(x0, x1) [0] isNatKind(x0) -> c_isNatKind(x0) [0] U22(x0) -> c_U22(x0) [0] U71(x0, x1, x2) -> c_U71(x0, x1, x2) [0] U51(x0, x1, x2) -> c_U51(x0, x1, x2) [0] U33(x0) -> c_U33(x0) [0] U13(x0) -> c_U13(x0) [0] U61(x0) -> c_U61(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, v2) -> null_encode_U31 [0] encode_U32(v0, v1) -> null_encode_U32 [0] encode_U33(v0) -> null_encode_U33 [0] encode_U41(v0, v1) -> null_encode_U41 [0] encode_U51(v0, v1, v2) -> null_encode_U51 [0] encode_s(v0) -> null_encode_s [0] encode_plus(v0, v1) -> null_encode_plus [0] encode_U61(v0) -> null_encode_U61 [0] encode_0 -> null_encode_0 [0] encode_U71(v0, v1, v2) -> null_encode_U71 [0] encode_x(v0, v1) -> null_encode_x [0] encode_and(v0, v1) -> null_encode_and [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, v2) -> null_U31 [0] U32(v0, v1) -> null_U32 [0] U21(v0, v1) -> null_U21 [0] x(v0, v1) -> null_x [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) -> null_U41 [0] isNatKind(v0) -> null_isNatKind [0] U22(v0) -> null_U22 [0] U71(v0, v1, v2) -> null_U71 [0] U51(v0, v1, v2) -> null_U51 [0] U33(v0) -> null_U33 [0] U13(v0) -> null_U13 [0] U61(v0) -> null_U61 [0] mark(v0) -> null_mark [0] The TRS has the following type information: mark :: 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_U13 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_U21 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_x :: 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark encode_isNatKind :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark -> 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_active :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U11 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_tt :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_mark :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U12 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_isNat :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U13 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U21 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U22 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U31 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U32 :: tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark null_encode_U33 :: 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tt:0:c_U22:c_active:c_isNatKind:c_U21:c_mark:c_U31:c_s:c_isNat:c_U61:c_U33:c_U71:c_U13:c_U32:c_plus:c_x:c_and:c_U12:c_U51:c_U11:c_U41:cons_active:cons_mark:cons_U11:cons_U12:cons_isNat:cons_U13:cons_U21:cons_U22:cons_U31:cons_U32:cons_U33:cons_U41:cons_U51:cons_s:cons_plus:cons_U61:cons_U71:cons_x:cons_and:cons_isNatKind:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_isNat:null_encode_U13:null_encode_U21:null_encode_U22:null_encode_U31:null_encode_U32:null_encode_U33:null_encode_U41:null_encode_U51:null_encode_s:null_encode_plus:null_encode_U61:null_encode_0:null_encode_U71:null_encode_x:null_encode_and:null_encode_isNatKind:null_isNat:null_plus:null_U12:null_U31:null_U32:null_U21:null_x:null_and:null_U11:null_s:null_active:null_U41:null_isNatKind:null_U22:null_U71:null_U51:null_U33:null_U13:null_U61:null_mark Rewrite Strategy: INNERMOST ---------------------------------------- (25) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 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_U32 => 0 null_encode_U33 => 0 null_encode_U41 => 0 null_encode_U51 => 0 null_encode_s => 0 null_encode_plus => 0 null_encode_U61 => 0 null_encode_0 => 0 null_encode_U71 => 0 null_encode_x => 0 null_encode_and => 0 null_encode_isNatKind => 0 null_isNat => 0 null_plus => 0 null_U12 => 0 null_U31 => 0 null_U32 => 0 null_U21 => 0 null_x => 0 null_and => 0 null_U11 => 0 null_s => 0 null_active => 0 null_U41 => 0 null_isNatKind => 0 null_U22 => 0 null_U71 => 0 null_U51 => 0 null_U33 => 0 null_U13 => 0 null_U61 => 0 null_mark => 0 ---------------------------------------- (26) 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, X2 >= 0, z = X1, z' = X2, z'' = 1 + 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'') -{ 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', z'') -{ 1 }-> U31(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3 U31(z, z', z'') -{ 1 }-> U31(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3 U31(z, z', z'') -{ 1 }-> U31(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3 U31(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 U31(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0 U32(z, z') -{ 1 }-> U32(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 U32(z, z') -{ 1 }-> U32(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 U32(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 U32(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 U33(z) -{ 1 }-> U33(X) :|: z = 1 + X, X >= 0 U33(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 U33(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 U41(z, z') -{ 1 }-> U41(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 U41(z, z') -{ 1 }-> U41(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 U41(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 U41(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 U51(z, z', z'') -{ 1 }-> U51(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3 U51(z, z', z'') -{ 1 }-> U51(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3 U51(z, z', z'') -{ 1 }-> U51(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3 U51(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 U51(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0 U61(z) -{ 1 }-> U61(X) :|: z = 1 + X, X >= 0 U61(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 U61(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 U71(z, z', z'') -{ 1 }-> U71(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3 U71(z, z', z'') -{ 1 }-> U71(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3 U71(z, z', z'') -{ 1 }-> U71(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3 U71(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 U71(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(plus(x(N, M), N)) :|: 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(U71(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(U61(and(isNat(N), isNatKind(N)))) :|: z = 1 + N + 0, N >= 0 active(z) -{ 1 }-> mark(U51(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(U41(and(isNat(N), isNatKind(N)), N)) :|: z = 1 + N + 0, N >= 0 active(z) -{ 1 }-> mark(U33(isNat(V2))) :|: z = 1 + 1 + V2, V2 >= 0 active(z) -{ 1 }-> mark(U32(isNat(V1), V2)) :|: z = 1 + 1 + V1 + V2, V1 >= 0, V2 >= 0 active(z) -{ 1 }-> mark(U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)) :|: V1 >= 0, V2 >= 0, z = 1 + (1 + V1 + V2) 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) -{ 1 }-> mark(0) :|: z = 1 + 1 active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 active(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0 and(z, z') -{ 1 }-> and(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 and(z, z') -{ 1 }-> and(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 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 }-> x(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> s(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> 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 }-> U71(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 }-> U61(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> U51(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 }-> U41(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> U33(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0 encArg(z) -{ 0 }-> U32(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0 encArg(z) -{ 0 }-> U31(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 }-> 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', z'') -{ 0 }-> U31(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_U31(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 encode_U32(z, z') -{ 0 }-> U32(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_U32(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_U33(z) -{ 0 }-> U33(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_U33(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_U41(z, z') -{ 0 }-> U41(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_U41(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 encode_U51(z, z', z'') -{ 0 }-> U51(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_U51(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0 encode_U61(z) -{ 0 }-> U61(encArg(x_1)) :|: x_1 >= 0, z = x_1 encode_U61(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 encode_U71(z, z', z'') -{ 0 }-> U71(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_U71(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 :|: encode_x(z, z') -{ 0 }-> x(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2 encode_x(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 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(x(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(s(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(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(U71(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> active(U61(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(U51(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> active(U41(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(U33(mark(X))) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> active(U32(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> active(U31(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 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 + X1, X2 >= 0, z' = X2 plus(z, z') -{ 1 }-> plus(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 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 x(z, z') -{ 1 }-> x(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2 x(z, z') -{ 1 }-> x(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1 x(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 x(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (27) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS to CDT ---------------------------------------- (28) Obligation: Complexity Dependency Tuples Problem Rules: encArg(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z2) -> U31(encArg(z0), encArg(z1), encArg(z2)) encode_U32(z0, z1) -> U32(encArg(z0), encArg(z1)) encode_U33(z0) -> U33(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_s(z0) -> s(encArg(z0)) encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1)) encode_U61(z0) -> U61(encArg(z0)) encode_0 -> 0 encode_U71(z0, z1, z2) -> U71(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) encode_and(z0, z1) -> and(encArg(z0), encArg(z1)) 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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ENCODE_ACTIVE(z0) -> c22(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_U11(z0, z1, z2) -> c23(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_TT -> c24 ENCODE_MARK(z0) -> c25(MARK(encArg(z0)), ENCARG(z0)) ENCODE_U12(z0, z1) -> c26(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ISNAT(z0) -> c27(ISNAT(encArg(z0)), ENCARG(z0)) ENCODE_U13(z0) -> c28(U13'(encArg(z0)), ENCARG(z0)) ENCODE_U21(z0, z1) -> c29(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U22(z0) -> c30(U22'(encArg(z0)), ENCARG(z0)) ENCODE_U31(z0, z1, z2) -> c31(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U32(z0, z1) -> c32(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U33(z0) -> c33(U33'(encArg(z0)), ENCARG(z0)) ENCODE_U41(z0, z1) -> c34(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c35(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_S(z0) -> c36(S(encArg(z0)), ENCARG(z0)) ENCODE_PLUS(z0, z1) -> c37(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U61(z0) -> c38(U61'(encArg(z0)), ENCARG(z0)) ENCODE_0 -> c39 ENCODE_U71(z0, z1, z2) -> c40(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_X(z0, z1) -> c41(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_AND(z0, z1) -> c42(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ISNATKIND(z0) -> c43(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), U33'(isNat(z0)), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c58(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))) -> c59(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U31'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), U41'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U51'(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)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), U61'(and(isNat(z0), isNatKind(z0))), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U71'(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)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(tt) -> c70(ACTIVE(tt)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c84(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), U33'(isNat(z0)), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c58(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))) -> c59(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U31'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), U41'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U51'(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)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), U61'(and(isNat(z0), isNatKind(z0))), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U71'(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)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(tt) -> c70(ACTIVE(tt)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c84(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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_3, encode_U32_2, encode_U33_1, encode_U41_2, encode_U51_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_x_2, encode_and_2, 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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_0, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c22_2, c23_4, c24, c25_2, c26_3, c27_2, c28_2, c29_3, c30_2, c31_4, c32_3, c33_2, c34_3, c35_4, c36_2, c37_3, c38_2, c39, c40_4, c41_3, c42_3, c43_2, c44_3, c45_3, c46_1, c47_3, c48_1, c49_3, c50_3, c51_1, c52_1, c53_3, c54_1, c55_3, c56_1, c57_1, c58_5, c59_3, c60_5, c61_1, c62_4, c63_2, c64_4, c65_5, c66_9, c67_5, c68_9, c69_3, c70_1, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c84_1, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1 ---------------------------------------- (29) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing nodes: ENCARG(tt) -> c ENCODE_0 -> c39 ENCARG(0) -> c1 ENCODE_TT -> c24 ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z2) -> U31(encArg(z0), encArg(z1), encArg(z2)) encode_U32(z0, z1) -> U32(encArg(z0), encArg(z1)) encode_U33(z0) -> U33(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_s(z0) -> s(encArg(z0)) encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1)) encode_U61(z0) -> U61(encArg(z0)) encode_0 -> 0 encode_U71(z0, z1, z2) -> U71(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) encode_and(z0, z1) -> and(encArg(z0), encArg(z1)) 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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ENCODE_ACTIVE(z0) -> c22(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_U11(z0, z1, z2) -> c23(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_MARK(z0) -> c25(MARK(encArg(z0)), ENCARG(z0)) ENCODE_U12(z0, z1) -> c26(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ISNAT(z0) -> c27(ISNAT(encArg(z0)), ENCARG(z0)) ENCODE_U13(z0) -> c28(U13'(encArg(z0)), ENCARG(z0)) ENCODE_U21(z0, z1) -> c29(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U22(z0) -> c30(U22'(encArg(z0)), ENCARG(z0)) ENCODE_U31(z0, z1, z2) -> c31(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U32(z0, z1) -> c32(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U33(z0) -> c33(U33'(encArg(z0)), ENCARG(z0)) ENCODE_U41(z0, z1) -> c34(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c35(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_S(z0) -> c36(S(encArg(z0)), ENCARG(z0)) ENCODE_PLUS(z0, z1) -> c37(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U61(z0) -> c38(U61'(encArg(z0)), ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c40(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_X(z0, z1) -> c41(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_AND(z0, z1) -> c42(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ISNATKIND(z0) -> c43(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), U33'(isNat(z0)), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c58(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))) -> c59(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U31'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), U41'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U51'(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)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), U61'(and(isNat(z0), isNatKind(z0))), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U71'(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)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(tt) -> c70(ACTIVE(tt)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c84(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), U13'(isNat(z0)), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), U22'(isNat(z0)), ISNAT(z0)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), U33'(isNat(z0)), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNat(plus(z0, z1))) -> c58(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))) -> c59(MARK(U21(isNatKind(z0), z0)), U21'(isNatKind(z0), z0), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), U31'(and(isNatKind(z0), isNatKind(z1)), z0, z1), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), AND(isNatKind(z0), isNatKind(z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), U41'(and(isNat(z0), isNatKind(z0)), z0), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U51'(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)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), U61'(and(isNat(z0), isNatKind(z0))), AND(isNat(z0), isNatKind(z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), U71'(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)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(tt) -> c70(ACTIVE(tt)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(0) -> c84(ACTIVE(0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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_3, encode_U32_2, encode_U33_1, encode_U41_2, encode_U51_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_x_2, encode_and_2, 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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_2, AND_2, ISNATKIND_1 Compound Symbols: c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c22_2, c23_4, c25_2, c26_3, c27_2, c28_2, c29_3, c30_2, c31_4, c32_3, c33_2, c34_3, c35_4, c36_2, c37_3, c38_2, c40_4, c41_3, c42_3, c43_2, c44_3, c45_3, c46_1, c47_3, c48_1, c49_3, c50_3, c51_1, c52_1, c53_3, c54_1, c55_3, c56_1, c57_1, c58_5, c59_3, c60_5, c61_1, c62_4, c63_2, c64_4, c65_5, c66_9, c67_5, c68_9, c69_3, c70_1, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c84_1, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1 ---------------------------------------- (31) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 26 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z2) -> U31(encArg(z0), encArg(z1), encArg(z2)) encode_U32(z0, z1) -> U32(encArg(z0), encArg(z1)) encode_U33(z0) -> U33(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_s(z0) -> s(encArg(z0)) encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1)) encode_U61(z0) -> U61(encArg(z0)) encode_0 -> 0 encode_U71(z0, z1, z2) -> U71(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) encode_and(z0, z1) -> and(encArg(z0), encArg(z1)) 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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ENCODE_ACTIVE(z0) -> c22(ACTIVE(encArg(z0)), ENCARG(z0)) ENCODE_U11(z0, z1, z2) -> c23(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_MARK(z0) -> c25(MARK(encArg(z0)), ENCARG(z0)) ENCODE_U12(z0, z1) -> c26(U12'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ISNAT(z0) -> c27(ISNAT(encArg(z0)), ENCARG(z0)) ENCODE_U13(z0) -> c28(U13'(encArg(z0)), ENCARG(z0)) ENCODE_U21(z0, z1) -> c29(U21'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U22(z0) -> c30(U22'(encArg(z0)), ENCARG(z0)) ENCODE_U31(z0, z1, z2) -> c31(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_U32(z0, z1) -> c32(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U33(z0) -> c33(U33'(encArg(z0)), ENCARG(z0)) ENCODE_U41(z0, z1) -> c34(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c35(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_S(z0) -> c36(S(encArg(z0)), ENCARG(z0)) ENCODE_PLUS(z0, z1) -> c37(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_U61(z0) -> c38(U61'(encArg(z0)), ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c40(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCODE_X(z0, z1) -> c41(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_AND(z0, z1) -> c42(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCODE_ISNATKIND(z0) -> c43(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 K tuples:none Defined Rule Symbols: active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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_3, encode_U32_2, encode_U33_1, encode_U41_2, encode_U51_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_x_2, encode_and_2, 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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ACTIVE_1, MARK_1, U11'_3, U12'_2, ISNAT_1, U13'_1, U21'_2, U22'_1, U31'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_2, AND_2, ISNATKIND_1 Compound Symbols: c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c22_2, c23_4, c25_2, c26_3, c27_2, c28_2, c29_3, c30_2, c31_4, c32_3, c33_2, c34_3, c35_4, c36_2, c37_3, c38_2, c40_4, c41_3, c42_3, c43_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84 ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z2) -> U31(encArg(z0), encArg(z1), encArg(z2)) encode_U32(z0, z1) -> U32(encArg(z0), encArg(z1)) encode_U33(z0) -> U33(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_s(z0) -> s(encArg(z0)) encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1)) encode_U61(z0) -> U61(encArg(z0)) encode_0 -> 0 encode_U71(z0, z1, z2) -> U71(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) encode_and(z0, z1) -> and(encArg(z0), encArg(z1)) 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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U31(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U31(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U31(z0, z1, z2) -> c(ENCARG(z2)) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U32(z0, z1) -> c(ENCARG(z0)) ENCODE_U32(z0, z1) -> c(ENCARG(z1)) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U33(z0) -> c(ENCARG(z0)) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U41(z0, z1) -> c(ENCARG(z0)) ENCODE_U41(z0, z1) -> c(ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U51(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U51(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U51(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_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U61(z0) -> c(ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U71(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U71(z0, z1, z2) -> c(ENCARG(z2)) ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) ENCODE_X(z0, z1) -> c(ENCARG(z0)) ENCODE_X(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 K tuples:none Defined Rule Symbols: active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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_3, encode_U32_2, encode_U33_1, encode_U41_2, encode_U51_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_x_2, encode_and_2, 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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_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_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, c_1 ---------------------------------------- (35) CdtLeafRemovalProof (ComplexityIfPolyImplication) Removed 35 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, z2) -> c(ENCARG(z0)) ENCODE_U31(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U31(z0, z1, z2) -> c(ENCARG(z2)) ENCODE_U32(z0, z1) -> c(ENCARG(z0)) ENCODE_U32(z0, z1) -> c(ENCARG(z1)) ENCODE_U33(z0) -> c(ENCARG(z0)) ENCODE_U41(z0, z1) -> c(ENCARG(z0)) ENCODE_U41(z0, z1) -> c(ENCARG(z1)) ENCODE_U51(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U51(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U51(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_U61(z0) -> c(ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c(ENCARG(z0)) ENCODE_U71(z0, z1, z2) -> c(ENCARG(z1)) ENCODE_U71(z0, z1, z2) -> c(ENCARG(z2)) ENCODE_X(z0, z1) -> c(ENCARG(z0)) ENCODE_X(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z2) -> U31(encArg(z0), encArg(z1), encArg(z2)) encode_U32(z0, z1) -> U32(encArg(z0), encArg(z1)) encode_U33(z0) -> U33(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_s(z0) -> s(encArg(z0)) encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1)) encode_U61(z0) -> U61(encArg(z0)) encode_0 -> 0 encode_U71(z0, z1, z2) -> U71(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) encode_and(z0, z1) -> and(encArg(z0), encArg(z1)) 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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 K tuples:none Defined Rule Symbols: active_1, mark_1, U11_3, U12_2, isNat_1, U13_1, U21_2, U22_1, U31_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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_3, encode_U32_2, encode_U33_1, encode_U41_2, encode_U51_3, encode_s_1, encode_plus_2, encode_U61_1, encode_0, encode_U71_3, encode_x_2, encode_and_2, 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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_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_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2) -> U31(encArg(z0), encArg(z1), encArg(z2)) encode_U32(z0, z1) -> U32(encArg(z0), encArg(z1)) encode_U33(z0) -> U33(encArg(z0)) encode_U41(z0, z1) -> U41(encArg(z0), encArg(z1)) encode_U51(z0, z1, z2) -> U51(encArg(z0), encArg(z1), encArg(z2)) encode_s(z0) -> s(encArg(z0)) encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1)) encode_U61(z0) -> U61(encArg(z0)) encode_0 -> 0 encode_U71(z0, z1, z2) -> U71(encArg(z0), encArg(z1), encArg(z2)) encode_x(z0, z1) -> x(encArg(z0), encArg(z1)) encode_and(z0, z1) -> and(encArg(z0), encArg(z1)) 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_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_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c3_2, c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c4_4, c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c5_3, c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c6_2, c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c7_2, c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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(tt)) -> c7(U13'(tt), ENCARG(tt)) ENCARG(cons_U13(0)) -> c7(U13'(0), ENCARG(0)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c8_3, c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c9_2, c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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(0)) -> c9(U22'(0), ENCARG(0)) ENCARG(cons_U22(tt)) -> c9(U22'(tt), ENCARG(tt)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c10_4, c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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 ---------------------------------------- (71) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U31(z0, z1, z2)) -> c10(U31'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U31(x0, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U31(x0, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4 ---------------------------------------- (73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c11_3, c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3 ---------------------------------------- (75) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U32(z0, z1)) -> c11(U32'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3 ---------------------------------------- (77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c12_2, c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2 ---------------------------------------- (79) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U33(z0)) -> c12(U33'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_U33(tt)) -> c12(U33'(tt), ENCARG(tt)) ENCARG(cons_U33(0)) -> c12(U33'(0), ENCARG(0)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(tt)) -> c12(U33'(tt), ENCARG(tt)) ENCARG(cons_U33(0)) -> c12(U33'(0), ENCARG(0)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2 ---------------------------------------- (81) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_U33(0)) -> c12(U33'(0), ENCARG(0)) ENCARG(cons_U33(tt)) -> c12(U33'(tt), ENCARG(tt)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c13_3, c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2 ---------------------------------------- (83) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U41(z0, z1)) -> c13(U41'(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c14_4, c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2 ---------------------------------------- (87) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U51(z0, z1, z2)) -> c14(U51'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4 ---------------------------------------- (89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c15(S(encArg(z0)), ENCARG(z0)) ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c15_2, c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3 ---------------------------------------- (91) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_s(z0)) -> c15(S(encArg(z0)), ENCARG(z0)) by ENCARG(cons_s(tt)) -> c15(S(tt), ENCARG(tt)) ENCARG(cons_s(0)) -> c15(S(0), ENCARG(0)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(tt)) -> c15(S(tt), ENCARG(tt)) ENCARG(cons_s(0)) -> c15(S(0), ENCARG(0)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2 ---------------------------------------- (93) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_s(tt)) -> c15(S(tt), ENCARG(tt)) ENCARG(cons_s(0)) -> c15(S(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c16_3, c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2 ---------------------------------------- (95) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_plus(z0, z1)) -> c16(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3 ---------------------------------------- (97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c17_2, c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2 ---------------------------------------- (99) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U61(z0)) -> c17(U61'(encArg(z0)), ENCARG(z0)) by ENCARG(cons_U61(tt)) -> c17(U61'(tt), ENCARG(tt)) ENCARG(cons_U61(0)) -> c17(U61'(0), ENCARG(0)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(tt)) -> c17(U61'(tt), ENCARG(tt)) ENCARG(cons_U61(0)) -> c17(U61'(0), ENCARG(0)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2 ---------------------------------------- (101) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_U61(tt)) -> c17(U61'(tt), ENCARG(tt)) ENCARG(cons_U61(0)) -> c17(U61'(0), ENCARG(0)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c18_4, c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2 ---------------------------------------- (103) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_U71(z0, z1, z2)) -> c18(U71'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0)) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2)) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4 ---------------------------------------- (105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c19_3, c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3 ---------------------------------------- (107) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_x(z0, z1)) -> c19(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3 ---------------------------------------- (109) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c20_3, c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_and(z0, z1)) -> c20(AND(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0), ENCARG(tt)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0), ENCARG(0)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(tt), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(0), ENCARG(x1)) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2, c20_3 ---------------------------------------- (113) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1 Compound Symbols: c21_2, c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2, c20_3, c20_2 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace ENCARG(cons_isNatKind(z0)) -> c21(ISNATKIND(encArg(z0)), ENCARG(z0)) by ENCARG(cons_isNatKind(tt)) -> c21(ISNATKIND(tt), ENCARG(tt)) ENCARG(cons_isNatKind(0)) -> c21(ISNATKIND(0), ENCARG(0)) ENCARG(cons_isNatKind(cons_active(z0))) -> c21(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_isNatKind(cons_mark(z0))) -> c21(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c21(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c21(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_isNatKind(cons_isNat(z0))) -> c21(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNatKind(cons_U13(z0))) -> c21(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c21(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_isNatKind(cons_U22(z0))) -> c21(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_isNatKind(cons_U31(z0, z1, z2))) -> c21(ISNATKIND(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U32(z0, z1))) -> c21(ISNATKIND(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNatKind(cons_U33(z0))) -> c21(ISNATKIND(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNatKind(cons_U41(z0, z1))) -> c21(ISNATKIND(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNatKind(cons_U51(z0, z1, z2))) -> c21(ISNATKIND(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_isNatKind(cons_s(z0))) -> c21(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c21(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_isNatKind(cons_U61(z0))) -> c21(ISNATKIND(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNatKind(cons_U71(z0, z1, z2))) -> c21(ISNATKIND(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNatKind(cons_x(z0, z1))) -> c21(ISNATKIND(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c21(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c21(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_isNatKind(tt)) -> c21(ISNATKIND(tt), ENCARG(tt)) ENCARG(cons_isNatKind(0)) -> c21(ISNATKIND(0), ENCARG(0)) ENCARG(cons_isNatKind(cons_active(z0))) -> c21(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_isNatKind(cons_mark(z0))) -> c21(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c21(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c21(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_isNatKind(cons_isNat(z0))) -> c21(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNatKind(cons_U13(z0))) -> c21(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c21(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_isNatKind(cons_U22(z0))) -> c21(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_isNatKind(cons_U31(z0, z1, z2))) -> c21(ISNATKIND(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U32(z0, z1))) -> c21(ISNATKIND(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNatKind(cons_U33(z0))) -> c21(ISNATKIND(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNatKind(cons_U41(z0, z1))) -> c21(ISNATKIND(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNatKind(cons_U51(z0, z1, z2))) -> c21(ISNATKIND(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_isNatKind(cons_s(z0))) -> c21(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c21(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_isNatKind(cons_U61(z0))) -> c21(ISNATKIND(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNatKind(cons_U71(z0, z1, z2))) -> c21(ISNATKIND(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNatKind(cons_x(z0, z1))) -> c21(ISNATKIND(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c21(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c21(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1 Compound Symbols: c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2, c20_3, c20_2, c21_2 ---------------------------------------- (117) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: ENCARG(cons_isNatKind(0)) -> c21(ISNATKIND(0), ENCARG(0)) ENCARG(cons_isNatKind(tt)) -> c21(ISNATKIND(tt), ENCARG(tt)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_isNatKind(cons_active(z0))) -> c21(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_isNatKind(cons_mark(z0))) -> c21(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c21(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c21(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_isNatKind(cons_isNat(z0))) -> c21(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNatKind(cons_U13(z0))) -> c21(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c21(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_isNatKind(cons_U22(z0))) -> c21(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_isNatKind(cons_U31(z0, z1, z2))) -> c21(ISNATKIND(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U32(z0, z1))) -> c21(ISNATKIND(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNatKind(cons_U33(z0))) -> c21(ISNATKIND(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNatKind(cons_U41(z0, z1))) -> c21(ISNATKIND(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNatKind(cons_U51(z0, z1, z2))) -> c21(ISNATKIND(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_isNatKind(cons_s(z0))) -> c21(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c21(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_isNatKind(cons_U61(z0))) -> c21(ISNATKIND(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNatKind(cons_U71(z0, z1, z2))) -> c21(ISNATKIND(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNatKind(cons_x(z0, z1))) -> c21(ISNATKIND(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c21(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c21(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1 Compound Symbols: c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c69_3, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2, c20_3, c20_2, c21_2 ---------------------------------------- (119) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) by MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt)) MARK(U11(U12(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U11(U13(z0), x1, x2)) -> c69(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0))) MARK(U11(U31(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U31(mark(z0), z1, z2)), x1, x2)), U11'(mark(U31(z0, z1, z2)), x1, x2), MARK(U31(z0, z1, z2))) MARK(U11(U32(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U32(mark(z0), z1)), x1, x2)), U11'(mark(U32(z0, z1)), x1, x2), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1, x2)) -> c69(ACTIVE(U11(active(U33(mark(z0))), x1, x2)), U11'(mark(U33(z0)), x1, x2), MARK(U33(z0))) MARK(U11(U41(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U41(mark(z0), z1)), x1, x2)), U11'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1, x2)), U11'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U11(s(z0), x1, x2)) -> c69(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U11(plus(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1, x2)) -> c69(ACTIVE(U11(active(U61(mark(z0))), x1, x2)), U11'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U11(0, x1, x2)) -> c69(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0)) MARK(U11(U71(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1, x2)), U11'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(and(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1))) MARK(U11(isNatKind(z0), x1, x2)) -> c69(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0))) MARK(U11(x0, x1, x2)) -> c69(U11'(mark(x0), x1, x2)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_isNatKind(cons_active(z0))) -> c21(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_isNatKind(cons_mark(z0))) -> c21(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c21(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c21(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_isNatKind(cons_isNat(z0))) -> c21(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNatKind(cons_U13(z0))) -> c21(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c21(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_isNatKind(cons_U22(z0))) -> c21(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_isNatKind(cons_U31(z0, z1, z2))) -> c21(ISNATKIND(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U32(z0, z1))) -> c21(ISNATKIND(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNatKind(cons_U33(z0))) -> c21(ISNATKIND(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNatKind(cons_U41(z0, z1))) -> c21(ISNATKIND(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNatKind(cons_U51(z0, z1, z2))) -> c21(ISNATKIND(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_isNatKind(cons_s(z0))) -> c21(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c21(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_isNatKind(cons_U61(z0))) -> c21(ISNATKIND(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNatKind(cons_U71(z0, z1, z2))) -> c21(ISNATKIND(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNatKind(cons_x(z0, z1))) -> c21(ISNATKIND(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c21(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c21(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt)) MARK(U11(U12(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U11(U13(z0), x1, x2)) -> c69(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0))) MARK(U11(U31(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U31(mark(z0), z1, z2)), x1, x2)), U11'(mark(U31(z0, z1, z2)), x1, x2), MARK(U31(z0, z1, z2))) MARK(U11(U32(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U32(mark(z0), z1)), x1, x2)), U11'(mark(U32(z0, z1)), x1, x2), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1, x2)) -> c69(ACTIVE(U11(active(U33(mark(z0))), x1, x2)), U11'(mark(U33(z0)), x1, x2), MARK(U33(z0))) MARK(U11(U41(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U41(mark(z0), z1)), x1, x2)), U11'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1, x2)), U11'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U11(s(z0), x1, x2)) -> c69(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U11(plus(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1, x2)) -> c69(ACTIVE(U11(active(U61(mark(z0))), x1, x2)), U11'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U11(0, x1, x2)) -> c69(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0)) MARK(U11(U71(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1, x2)), U11'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(and(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1))) MARK(U11(isNatKind(z0), x1, x2)) -> c69(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0))) MARK(U11(x0, x1, x2)) -> c69(U11'(mark(x0), x1, x2)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt)) MARK(U11(U12(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U11(U13(z0), x1, x2)) -> c69(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0))) MARK(U11(U31(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U31(mark(z0), z1, z2)), x1, x2)), U11'(mark(U31(z0, z1, z2)), x1, x2), MARK(U31(z0, z1, z2))) MARK(U11(U32(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U32(mark(z0), z1)), x1, x2)), U11'(mark(U32(z0, z1)), x1, x2), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1, x2)) -> c69(ACTIVE(U11(active(U33(mark(z0))), x1, x2)), U11'(mark(U33(z0)), x1, x2), MARK(U33(z0))) MARK(U11(U41(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U41(mark(z0), z1)), x1, x2)), U11'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1, x2)), U11'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U11(s(z0), x1, x2)) -> c69(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U11(plus(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1, x2)) -> c69(ACTIVE(U11(active(U61(mark(z0))), x1, x2)), U11'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U11(0, x1, x2)) -> c69(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0)) MARK(U11(U71(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1, x2)), U11'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(and(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1))) MARK(U11(isNatKind(z0), x1, x2)) -> c69(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0))) MARK(U11(x0, x1, x2)) -> c69(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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1 Compound Symbols: c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c71_3, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2, c20_3, c20_2, c21_2, c69_3, c69_1 ---------------------------------------- (121) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U12(z0, z1)) -> c71(ACTIVE(U12(mark(z0), z1)), U12'(mark(z0), z1), MARK(z0)) by MARK(U12(z0, z1)) -> c71(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0)) MARK(U12(U11(z0, z1, z2), x1)) -> c71(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)) -> c71(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt)) MARK(U12(U12(z0, z1), x1)) -> c71(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1))) MARK(U12(isNat(z0), x1)) -> c71(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U12(U13(z0), x1)) -> c71(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c71(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0), x1)) -> c71(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0))) MARK(U12(U31(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U31(mark(z0), z1, z2)), x1)), U12'(mark(U31(z0, z1, z2)), x1), MARK(U31(z0, z1, z2))) MARK(U12(U32(z0, z1), x1)) -> c71(ACTIVE(U12(active(U32(mark(z0), z1)), x1)), U12'(mark(U32(z0, z1)), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c71(ACTIVE(U12(active(U33(mark(z0))), x1)), U12'(mark(U33(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1), x1)) -> c71(ACTIVE(U12(active(U41(mark(z0), z1)), x1)), U12'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U51(mark(z0), z1, z2)), x1)), U12'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U12(s(z0), x1)) -> c71(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0))) MARK(U12(plus(z0, z1), x1)) -> c71(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U12(U61(z0), x1)) -> c71(ACTIVE(U12(active(U61(mark(z0))), x1)), U12'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U12(0, x1)) -> c71(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0)) MARK(U12(U71(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U71(mark(z0), z1, z2)), x1)), U12'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U12(x(z0, z1), x1)) -> c71(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1)), U12'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U12(and(z0, z1), x1)) -> c71(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c71(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0))) MARK(U12(x0, x1)) -> c71(U12'(mark(x0), x1)) ---------------------------------------- (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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_isNatKind(cons_active(z0))) -> c21(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_isNatKind(cons_mark(z0))) -> c21(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c21(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c21(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_isNatKind(cons_isNat(z0))) -> c21(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNatKind(cons_U13(z0))) -> c21(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c21(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_isNatKind(cons_U22(z0))) -> c21(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_isNatKind(cons_U31(z0, z1, z2))) -> c21(ISNATKIND(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U32(z0, z1))) -> c21(ISNATKIND(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNatKind(cons_U33(z0))) -> c21(ISNATKIND(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNatKind(cons_U41(z0, z1))) -> c21(ISNATKIND(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNatKind(cons_U51(z0, z1, z2))) -> c21(ISNATKIND(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_isNatKind(cons_s(z0))) -> c21(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c21(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_isNatKind(cons_U61(z0))) -> c21(ISNATKIND(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNatKind(cons_U71(z0, z1, z2))) -> c21(ISNATKIND(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNatKind(cons_x(z0, z1))) -> c21(ISNATKIND(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c21(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c21(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt)) MARK(U11(U12(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U11(U13(z0), x1, x2)) -> c69(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0))) MARK(U11(U31(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U31(mark(z0), z1, z2)), x1, x2)), U11'(mark(U31(z0, z1, z2)), x1, x2), MARK(U31(z0, z1, z2))) MARK(U11(U32(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U32(mark(z0), z1)), x1, x2)), U11'(mark(U32(z0, z1)), x1, x2), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1, x2)) -> c69(ACTIVE(U11(active(U33(mark(z0))), x1, x2)), U11'(mark(U33(z0)), x1, x2), MARK(U33(z0))) MARK(U11(U41(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U41(mark(z0), z1)), x1, x2)), U11'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1, x2)), U11'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U11(s(z0), x1, x2)) -> c69(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U11(plus(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1, x2)) -> c69(ACTIVE(U11(active(U61(mark(z0))), x1, x2)), U11'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U11(0, x1, x2)) -> c69(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0)) MARK(U11(U71(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1, x2)), U11'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(and(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1))) MARK(U11(isNatKind(z0), x1, x2)) -> c69(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0))) MARK(U11(x0, x1, x2)) -> c69(U11'(mark(x0), x1, x2)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0)) MARK(U12(U11(z0, z1, z2), x1)) -> c71(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)) -> c71(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt)) MARK(U12(U12(z0, z1), x1)) -> c71(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1))) MARK(U12(isNat(z0), x1)) -> c71(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U12(U13(z0), x1)) -> c71(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c71(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0), x1)) -> c71(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0))) MARK(U12(U31(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U31(mark(z0), z1, z2)), x1)), U12'(mark(U31(z0, z1, z2)), x1), MARK(U31(z0, z1, z2))) MARK(U12(U32(z0, z1), x1)) -> c71(ACTIVE(U12(active(U32(mark(z0), z1)), x1)), U12'(mark(U32(z0, z1)), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c71(ACTIVE(U12(active(U33(mark(z0))), x1)), U12'(mark(U33(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1), x1)) -> c71(ACTIVE(U12(active(U41(mark(z0), z1)), x1)), U12'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U51(mark(z0), z1, z2)), x1)), U12'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U12(s(z0), x1)) -> c71(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0))) MARK(U12(plus(z0, z1), x1)) -> c71(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U12(U61(z0), x1)) -> c71(ACTIVE(U12(active(U61(mark(z0))), x1)), U12'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U12(0, x1)) -> c71(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0)) MARK(U12(U71(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U71(mark(z0), z1, z2)), x1)), U12'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U12(x(z0, z1), x1)) -> c71(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1)), U12'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U12(and(z0, z1), x1)) -> c71(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c71(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0))) MARK(U12(x0, x1)) -> c71(U12'(mark(x0), x1)) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt)) MARK(U11(U12(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U11(U13(z0), x1, x2)) -> c69(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0))) MARK(U11(U31(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U31(mark(z0), z1, z2)), x1, x2)), U11'(mark(U31(z0, z1, z2)), x1, x2), MARK(U31(z0, z1, z2))) MARK(U11(U32(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U32(mark(z0), z1)), x1, x2)), U11'(mark(U32(z0, z1)), x1, x2), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1, x2)) -> c69(ACTIVE(U11(active(U33(mark(z0))), x1, x2)), U11'(mark(U33(z0)), x1, x2), MARK(U33(z0))) MARK(U11(U41(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U41(mark(z0), z1)), x1, x2)), U11'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1, x2)), U11'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U11(s(z0), x1, x2)) -> c69(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U11(plus(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1, x2)) -> c69(ACTIVE(U11(active(U61(mark(z0))), x1, x2)), U11'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U11(0, x1, x2)) -> c69(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0)) MARK(U11(U71(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1, x2)), U11'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(and(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1))) MARK(U11(isNatKind(z0), x1, x2)) -> c69(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0))) MARK(U11(x0, x1, x2)) -> c69(U11'(mark(x0), x1, x2)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0)) MARK(U12(U11(z0, z1, z2), x1)) -> c71(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)) -> c71(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt)) MARK(U12(U12(z0, z1), x1)) -> c71(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1))) MARK(U12(isNat(z0), x1)) -> c71(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U12(U13(z0), x1)) -> c71(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c71(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0), x1)) -> c71(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0))) MARK(U12(U31(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U31(mark(z0), z1, z2)), x1)), U12'(mark(U31(z0, z1, z2)), x1), MARK(U31(z0, z1, z2))) MARK(U12(U32(z0, z1), x1)) -> c71(ACTIVE(U12(active(U32(mark(z0), z1)), x1)), U12'(mark(U32(z0, z1)), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c71(ACTIVE(U12(active(U33(mark(z0))), x1)), U12'(mark(U33(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1), x1)) -> c71(ACTIVE(U12(active(U41(mark(z0), z1)), x1)), U12'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U51(mark(z0), z1, z2)), x1)), U12'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U12(s(z0), x1)) -> c71(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0))) MARK(U12(plus(z0, z1), x1)) -> c71(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U12(U61(z0), x1)) -> c71(ACTIVE(U12(active(U61(mark(z0))), x1)), U12'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U12(0, x1)) -> c71(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0)) MARK(U12(U71(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U71(mark(z0), z1, z2)), x1)), U12'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U12(x(z0, z1), x1)) -> c71(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1)), U12'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U12(and(z0, z1), x1)) -> c71(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c71(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0))) MARK(U12(x0, x1)) -> c71(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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1 Compound Symbols: c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c72_2, c73_3, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2, c20_3, c20_2, c21_2, c69_3, c69_1, c71_3, c71_1 ---------------------------------------- (123) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U13(z0)) -> c73(ACTIVE(U13(mark(z0))), U13'(mark(z0)), MARK(z0)) by MARK(U13(z0)) -> c73(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0)) MARK(U13(U11(z0, z1, z2))) -> c73(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) MARK(U13(tt)) -> c73(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt)) MARK(U13(U12(z0, z1))) -> c73(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1))) MARK(U13(isNat(z0))) -> c73(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U13(U13(z0))) -> c73(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0))) MARK(U13(U21(z0, z1))) -> c73(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1))) MARK(U13(U22(z0))) -> c73(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0))) MARK(U13(U31(z0, z1, z2))) -> c73(ACTIVE(U13(active(U31(mark(z0), z1, z2)))), U13'(mark(U31(z0, z1, z2))), MARK(U31(z0, z1, z2))) MARK(U13(U32(z0, z1))) -> c73(ACTIVE(U13(active(U32(mark(z0), z1)))), U13'(mark(U32(z0, z1))), MARK(U32(z0, z1))) MARK(U13(U33(z0))) -> c73(ACTIVE(U13(active(U33(mark(z0))))), U13'(mark(U33(z0))), MARK(U33(z0))) MARK(U13(U41(z0, z1))) -> c73(ACTIVE(U13(active(U41(mark(z0), z1)))), U13'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U13(U51(z0, z1, z2))) -> c73(ACTIVE(U13(active(U51(mark(z0), z1, z2)))), U13'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U13(s(z0))) -> c73(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0))) MARK(U13(plus(z0, z1))) -> c73(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U13(U61(z0))) -> c73(ACTIVE(U13(active(U61(mark(z0))))), U13'(mark(U61(z0))), MARK(U61(z0))) MARK(U13(0)) -> c73(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0)) MARK(U13(U71(z0, z1, z2))) -> c73(ACTIVE(U13(active(U71(mark(z0), z1, z2)))), U13'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U13(x(z0, z1))) -> c73(ACTIVE(U13(active(x(mark(z0), mark(z1))))), U13'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U13(and(z0, z1))) -> c73(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1))) MARK(U13(isNatKind(z0))) -> c73(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(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, z2)) -> U31(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_U32(z0, z1)) -> U32(encArg(z0), encArg(z1)) encArg(cons_U33(z0)) -> U33(encArg(z0)) encArg(cons_U41(z0, z1)) -> U41(encArg(z0), encArg(z1)) encArg(cons_U51(z0, z1, z2)) -> U51(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_U61(z0)) -> U61(encArg(z0)) encArg(cons_U71(z0, z1, z2)) -> U71(encArg(z0), encArg(z1), encArg(z2)) encArg(cons_x(z0, z1)) -> x(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, z1)) -> mark(U32(isNat(z0), z1)) active(U32(tt, z0)) -> mark(U33(isNat(z0))) active(U33(tt)) -> mark(tt) active(U41(tt, z0)) -> mark(z0) active(U51(tt, z0, z1)) -> mark(s(plus(z1, z0))) active(U61(tt)) -> mark(0) active(U71(tt, z0, z1)) -> mark(plus(x(z1, z0), z1)) 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(isNat(x(z0, z1))) -> mark(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(isNatKind(s(z0))) -> mark(isNatKind(z0)) active(isNatKind(x(z0, z1))) -> mark(and(isNatKind(z0), isNatKind(z1))) active(plus(z0, 0)) -> mark(U41(and(isNat(z0), isNatKind(z0)), z0)) active(plus(z0, s(z1))) -> mark(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)) active(x(z0, 0)) -> mark(U61(and(isNat(z0), isNatKind(z0)))) active(x(z0, s(z1))) -> mark(U71(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, z2)) -> active(U31(mark(z0), z1, z2)) mark(U32(z0, z1)) -> active(U32(mark(z0), z1)) mark(U33(z0)) -> active(U33(mark(z0))) mark(U41(z0, z1)) -> active(U41(mark(z0), z1)) mark(U51(z0, z1, z2)) -> active(U51(mark(z0), z1, z2)) mark(s(z0)) -> active(s(mark(z0))) mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1))) mark(U61(z0)) -> active(U61(mark(z0))) mark(0) -> active(0) mark(U71(z0, z1, z2)) -> active(U71(mark(z0), z1, z2)) mark(x(z0, z1)) -> active(x(mark(z0), mark(z1))) mark(and(z0, z1)) -> active(and(mark(z0), z1)) 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, z2) -> U31(z0, z1, z2) U31(z0, mark(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, mark(z2)) -> U31(z0, z1, z2) U31(active(z0), z1, z2) -> U31(z0, z1, z2) U31(z0, active(z1), z2) -> U31(z0, z1, z2) U31(z0, z1, active(z2)) -> U31(z0, z1, z2) U32(mark(z0), z1) -> U32(z0, z1) U32(z0, mark(z1)) -> U32(z0, z1) U32(active(z0), z1) -> U32(z0, z1) U32(z0, active(z1)) -> U32(z0, z1) U33(mark(z0)) -> U33(z0) U33(active(z0)) -> U33(z0) U41(mark(z0), z1) -> U41(z0, z1) U41(z0, mark(z1)) -> U41(z0, z1) U41(active(z0), z1) -> U41(z0, z1) U41(z0, active(z1)) -> U41(z0, z1) U51(mark(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, mark(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, mark(z2)) -> U51(z0, z1, z2) U51(active(z0), z1, z2) -> U51(z0, z1, z2) U51(z0, active(z1), z2) -> U51(z0, z1, z2) U51(z0, z1, active(z2)) -> U51(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) U61(mark(z0)) -> U61(z0) U61(active(z0)) -> U61(z0) U71(mark(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, mark(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, mark(z2)) -> U71(z0, z1, z2) U71(active(z0), z1, z2) -> U71(z0, z1, z2) U71(z0, active(z1), z2) -> U71(z0, z1, z2) U71(z0, z1, active(z2)) -> U71(z0, z1, z2) x(mark(z0), z1) -> x(z0, z1) x(z0, mark(z1)) -> x(z0, z1) x(active(z0), z1) -> x(z0, z1) x(z0, active(z1)) -> x(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)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 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, z2) -> c(U31'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_U32(z0, z1) -> c(U32'(encArg(z0), encArg(z1))) ENCODE_U33(z0) -> c(U33'(encArg(z0))) ENCODE_U41(z0, z1) -> c(U41'(encArg(z0), encArg(z1))) ENCODE_U51(z0, z1, z2) -> c(U51'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_S(z0) -> c(S(encArg(z0))) ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) ENCODE_U61(z0) -> c(U61'(encArg(z0))) ENCODE_U71(z0, z1, z2) -> c(U71'(encArg(z0), encArg(z1), encArg(z2))) ENCODE_X(z0, z1) -> c(X(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, z2))) -> c2(ACTIVE(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_active(cons_U32(z0, z1))) -> c2(ACTIVE(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_active(cons_U33(z0))) -> c2(ACTIVE(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_active(cons_U41(z0, z1))) -> c2(ACTIVE(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_active(cons_U51(z0, z1, z2))) -> c2(ACTIVE(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c2(ACTIVE(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_active(cons_U71(z0, z1, z2))) -> c2(ACTIVE(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c3(MARK(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_mark(cons_U32(z0, z1))) -> c3(MARK(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_mark(cons_U33(z0))) -> c3(MARK(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_mark(cons_U41(z0, z1))) -> c3(MARK(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_mark(cons_U51(z0, z1, z2))) -> c3(MARK(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c3(MARK(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_mark(cons_U71(z0, z1, z2))) -> c3(MARK(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c4(U11'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_U32(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U33(z0))) -> c4(U11'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U11(x0, x1, cons_U41(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U11(x0, x1, cons_U51(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(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_U61(z0))) -> c4(U11'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U11(x0, x1, cons_U71(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(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, z2), x2)) -> c4(U11'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U32(z0, z1), x2)) -> c4(U11'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U33(z0), x2)) -> c4(U11'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U41(z0, z1), x2)) -> c4(U11'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U51(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(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_U61(z0), x2)) -> c4(U11'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_U71(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(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, z2), x1, x2)) -> c4(U11'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U32(z0, z1), x1, x2)) -> c4(U11'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U33(z0), x1, x2)) -> c4(U11'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U41(z0, z1), x1, x2)) -> c4(U11'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U51(z0, z1, z2), x1, x2)) -> c4(U11'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(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_U61(z0), x1, x2)) -> c4(U11'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_U71(z0, z1, z2), x1, x2)) -> c4(U11'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(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, z2))) -> c5(U12'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U12(x0, cons_U32(z0, z1))) -> c5(U12'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U12(x0, cons_U33(z0))) -> c5(U12'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U12(x0, cons_U41(z0, z1))) -> c5(U12'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U12(x0, cons_U51(z0, z1, z2))) -> c5(U12'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c5(U12'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U12(x0, cons_U71(z0, z1, z2))) -> c5(U12'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U12(x0, cons_x(z0, z1))) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c5(U12'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_U32(z0, z1), x1)) -> c5(U12'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U33(z0), x1)) -> c5(U12'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U41(z0, z1), x1)) -> c5(U12'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U12(cons_U51(z0, z1, z2), x1)) -> c5(U12'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c5(U12'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U12(cons_U71(z0, z1, z2), x1)) -> c5(U12'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U12(cons_x(z0, z1), x1)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c6(ISNAT(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNat(cons_U32(z0, z1))) -> c6(ISNAT(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNat(cons_U33(z0))) -> c6(ISNAT(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNat(cons_U41(z0, z1))) -> c6(ISNAT(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNat(cons_U51(z0, z1, z2))) -> c6(ISNAT(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c6(ISNAT(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNat(cons_U71(z0, z1, z2))) -> c6(ISNAT(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNat(cons_x(z0, z1))) -> c6(ISNAT(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c7(U13'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U13(cons_U32(z0, z1))) -> c7(U13'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U13(cons_U33(z0))) -> c7(U13'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U13(cons_U41(z0, z1))) -> c7(U13'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U13(cons_U51(z0, z1, z2))) -> c7(U13'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c7(U13'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U13(cons_U71(z0, z1, z2))) -> c7(U13'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U13(cons_x(z0, z1))) -> c7(U13'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, z2))) -> c8(U21'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U21(x0, cons_U32(z0, z1))) -> c8(U21'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U21(x0, cons_U33(z0))) -> c8(U21'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U21(x0, cons_U41(z0, z1))) -> c8(U21'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U21(x0, cons_U51(z0, z1, z2))) -> c8(U21'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(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_U61(z0))) -> c8(U21'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U21(x0, cons_U71(z0, z1, z2))) -> c8(U21'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U21(x0, cons_x(z0, z1))) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(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, z2), x1)) -> c8(U21'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_U32(z0, z1), x1)) -> c8(U21'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U33(z0), x1)) -> c8(U21'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U41(z0, z1), x1)) -> c8(U21'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U21(cons_U51(z0, z1, z2), x1)) -> c8(U21'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(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_U61(z0), x1)) -> c8(U21'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U21(cons_U71(z0, z1, z2), x1)) -> c8(U21'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U21(cons_x(z0, z1), x1)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(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, z2))) -> c9(U22'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U22(cons_U32(z0, z1))) -> c9(U22'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U22(cons_U33(z0))) -> c9(U22'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U22(cons_U41(z0, z1))) -> c9(U22'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U22(cons_U51(z0, z1, z2))) -> c9(U22'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(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_U61(z0))) -> c9(U22'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U22(cons_U71(z0, z1, z2))) -> c9(U22'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U22(cons_x(z0, z1))) -> c9(U22'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(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, x1, cons_active(z0))) -> c10(U31'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U31(x0, x1, cons_mark(z0))) -> c10(U31'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U31(x0, x1, cons_U11(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U12(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNat(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U31(x0, x1, cons_U13(z0))) -> c10(U31'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U31(x0, x1, cons_U21(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U22(z0))) -> c10(U31'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U31(x0, x1, cons_U31(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_U32(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U33(z0))) -> c10(U31'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U31(x0, x1, cons_U41(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U51(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_s(z0))) -> c10(U31'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U31(x0, x1, cons_plus(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U31(x0, x1, cons_U61(z0))) -> c10(U31'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U31(x0, x1, cons_U71(z0, z1, z2))) -> c10(U31'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U31(x0, x1, cons_x(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U31(x0, x1, cons_and(z0, z1))) -> c10(U31'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U31(x0, x1, cons_isNatKind(z0))) -> c10(U31'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U31(x0, cons_active(z0), x2)) -> c10(U31'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_mark(z0), x2)) -> c10(U31'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U11(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U12(z0, z1), x2)) -> c10(U31'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNat(z0), x2)) -> c10(U31'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U13(z0), x2)) -> c10(U31'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U21(z0, z1), x2)) -> c10(U31'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U22(z0), x2)) -> c10(U31'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U31(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U32(z0, z1), x2)) -> c10(U31'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U33(z0), x2)) -> c10(U31'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U41(z0, z1), x2)) -> c10(U31'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U51(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_s(z0), x2)) -> c10(U31'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_plus(z0, z1), x2)) -> c10(U31'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U61(z0), x2)) -> c10(U31'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_U71(z0, z1, z2), x2)) -> c10(U31'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_x(z0, z1), x2)) -> c10(U31'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_and(z0, z1), x2)) -> c10(U31'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U31(x0, cons_isNatKind(z0), x2)) -> c10(U31'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U31(cons_active(z0), x1, x2)) -> c10(U31'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_mark(z0), x1, x2)) -> c10(U31'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U11(z0, z1, z2), x1, x2)) -> c10(U31'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U12(z0, z1), x1, x2)) -> c10(U31'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNat(z0), x1, x2)) -> c10(U31'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U13(z0), x1, x2)) -> c10(U31'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U21(z0, z1), x1, x2)) -> c10(U31'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U22(z0), x1, x2)) -> c10(U31'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U31(z0, z1, z2), x1, x2)) -> c10(U31'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U32(z0, z1), x1, x2)) -> c10(U31'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U33(z0), x1, x2)) -> c10(U31'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U41(z0, z1), x1, x2)) -> c10(U31'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U51(z0, z1, z2), x1, x2)) -> c10(U31'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_s(z0), x1, x2)) -> c10(U31'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_plus(z0, z1), x1, x2)) -> c10(U31'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U61(z0), x1, x2)) -> c10(U31'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_U71(z0, z1, z2), x1, x2)) -> c10(U31'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_x(z0, z1), x1, x2)) -> c10(U31'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_and(z0, z1), x1, x2)) -> c10(U31'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(cons_isNatKind(z0), x1, x2)) -> c10(U31'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(x0, x1, tt)) -> c10(U31'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, x1, 0)) -> c10(U31'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U31(x0, tt, x2)) -> c10(U31'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(x0, 0, x2)) -> c10(U31'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U31(tt, x1, x2)) -> c10(U31'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U31(0, x1, x2)) -> c10(U31'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U32(x0, cons_active(z0))) -> c11(U32'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U32(x0, cons_mark(z0))) -> c11(U32'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U32(x0, cons_U11(z0, z1, z2))) -> c11(U32'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U12(z0, z1))) -> c11(U32'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U32(x0, cons_isNat(z0))) -> c11(U32'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U32(x0, cons_U13(z0))) -> c11(U32'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U32(x0, cons_U21(z0, z1))) -> c11(U32'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U32(x0, cons_U22(z0))) -> c11(U32'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U32(x0, cons_U31(z0, z1, z2))) -> c11(U32'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U32(x0, cons_U32(z0, z1))) -> c11(U32'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U32(x0, cons_U33(z0))) -> c11(U32'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U32(x0, cons_U41(z0, z1))) -> c11(U32'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U32(x0, cons_U51(z0, z1, z2))) -> c11(U32'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U32(x0, cons_s(z0))) -> c11(U32'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U32(x0, cons_plus(z0, z1))) -> c11(U32'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U32(x0, cons_U61(z0))) -> c11(U32'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U32(x0, cons_U71(z0, z1, z2))) -> c11(U32'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U32(x0, cons_x(z0, z1))) -> c11(U32'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U32(x0, cons_and(z0, z1))) -> c11(U32'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U32(x0, cons_isNatKind(z0))) -> c11(U32'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U32(cons_active(z0), x1)) -> c11(U32'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_mark(z0), x1)) -> c11(U32'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U11(z0, z1, z2), x1)) -> c11(U32'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U12(z0, z1), x1)) -> c11(U32'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNat(z0), x1)) -> c11(U32'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U13(z0), x1)) -> c11(U32'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U21(z0, z1), x1)) -> c11(U32'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U22(z0), x1)) -> c11(U32'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U31(z0, z1, z2), x1)) -> c11(U32'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_U32(z0, z1), x1)) -> c11(U32'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U33(z0), x1)) -> c11(U32'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U41(z0, z1), x1)) -> c11(U32'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U51(z0, z1, z2), x1)) -> c11(U32'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_s(z0), x1)) -> c11(U32'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_plus(z0, z1), x1)) -> c11(U32'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_U61(z0), x1)) -> c11(U32'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U32(cons_U71(z0, z1, z2), x1)) -> c11(U32'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U32(cons_x(z0, z1), x1)) -> c11(U32'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_and(z0, z1), x1)) -> c11(U32'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U32(cons_isNatKind(z0), x1)) -> c11(U32'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U32(x0, tt)) -> c11(U32'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U32(x0, 0)) -> c11(U32'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U32(tt, x1)) -> c11(U32'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U32(0, x1)) -> c11(U32'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U33(cons_active(z0))) -> c12(U33'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U33(cons_mark(z0))) -> c12(U33'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U33(cons_U11(z0, z1, z2))) -> c12(U33'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U33(cons_U12(z0, z1))) -> c12(U33'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U33(cons_isNat(z0))) -> c12(U33'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U33(cons_U13(z0))) -> c12(U33'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U33(cons_U21(z0, z1))) -> c12(U33'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U33(cons_U22(z0))) -> c12(U33'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U33(cons_U31(z0, z1, z2))) -> c12(U33'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U33(cons_U32(z0, z1))) -> c12(U33'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U33(cons_U33(z0))) -> c12(U33'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U33(cons_U41(z0, z1))) -> c12(U33'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U33(cons_U51(z0, z1, z2))) -> c12(U33'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U33(cons_s(z0))) -> c12(U33'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U33(cons_plus(z0, z1))) -> c12(U33'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U33(cons_U61(z0))) -> c12(U33'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U33(cons_U71(z0, z1, z2))) -> c12(U33'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U33(cons_x(z0, z1))) -> c12(U33'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U33(cons_and(z0, z1))) -> c12(U33'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U33(cons_isNatKind(z0))) -> c12(U33'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(x0, cons_active(z0))) -> c13(U41'(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_U41(x0, cons_mark(z0))) -> c13(U41'(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_U41(x0, cons_U11(z0, z1, z2))) -> c13(U41'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U12(z0, z1))) -> c13(U41'(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U41(x0, cons_isNat(z0))) -> c13(U41'(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_U41(x0, cons_U13(z0))) -> c13(U41'(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_U41(x0, cons_U21(z0, z1))) -> c13(U41'(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U41(x0, cons_U22(z0))) -> c13(U41'(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_U41(x0, cons_U31(z0, z1, z2))) -> c13(U41'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U41(x0, cons_U32(z0, z1))) -> c13(U41'(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U41(x0, cons_U33(z0))) -> c13(U41'(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_U41(x0, cons_U41(z0, z1))) -> c13(U41'(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U41(x0, cons_U51(z0, z1, z2))) -> c13(U41'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U41(x0, cons_s(z0))) -> c13(U41'(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_U41(x0, cons_plus(z0, z1))) -> c13(U41'(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U41(x0, cons_U61(z0))) -> c13(U41'(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_U41(x0, cons_U71(z0, z1, z2))) -> c13(U41'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U41(x0, cons_x(z0, z1))) -> c13(U41'(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_U41(x0, cons_and(z0, z1))) -> c13(U41'(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_U41(x0, cons_isNatKind(z0))) -> c13(U41'(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U41(cons_active(z0), x1)) -> c13(U41'(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_mark(z0), x1)) -> c13(U41'(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U11(z0, z1, z2), x1)) -> c13(U41'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U12(z0, z1), x1)) -> c13(U41'(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNat(z0), x1)) -> c13(U41'(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U13(z0), x1)) -> c13(U41'(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U21(z0, z1), x1)) -> c13(U41'(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U22(z0), x1)) -> c13(U41'(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U31(z0, z1, z2), x1)) -> c13(U41'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_U32(z0, z1), x1)) -> c13(U41'(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U33(z0), x1)) -> c13(U41'(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U41(z0, z1), x1)) -> c13(U41'(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U51(z0, z1, z2), x1)) -> c13(U41'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_s(z0), x1)) -> c13(U41'(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_plus(z0, z1), x1)) -> c13(U41'(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_U61(z0), x1)) -> c13(U41'(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_U41(cons_U71(z0, z1, z2), x1)) -> c13(U41'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_U41(cons_x(z0, z1), x1)) -> c13(U41'(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_and(z0, z1), x1)) -> c13(U41'(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_U41(cons_isNatKind(z0), x1)) -> c13(U41'(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_U41(x0, tt)) -> c13(U41'(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_U41(x0, 0)) -> c13(U41'(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_U41(tt, x1)) -> c13(U41'(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_U41(0, x1)) -> c13(U41'(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U51(x0, x1, cons_active(z0))) -> c14(U51'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U51(x0, x1, cons_mark(z0))) -> c14(U51'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U51(x0, x1, cons_U11(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U12(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNat(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U51(x0, x1, cons_U13(z0))) -> c14(U51'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U51(x0, x1, cons_U21(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U22(z0))) -> c14(U51'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U51(x0, x1, cons_U31(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_U32(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U33(z0))) -> c14(U51'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U51(x0, x1, cons_U41(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U51(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_s(z0))) -> c14(U51'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U51(x0, x1, cons_plus(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U51(x0, x1, cons_U61(z0))) -> c14(U51'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U51(x0, x1, cons_U71(z0, z1, z2))) -> c14(U51'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U51(x0, x1, cons_x(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U51(x0, x1, cons_and(z0, z1))) -> c14(U51'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U51(x0, x1, cons_isNatKind(z0))) -> c14(U51'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U51(x0, cons_active(z0), x2)) -> c14(U51'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_mark(z0), x2)) -> c14(U51'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U11(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U12(z0, z1), x2)) -> c14(U51'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNat(z0), x2)) -> c14(U51'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U13(z0), x2)) -> c14(U51'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U21(z0, z1), x2)) -> c14(U51'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U22(z0), x2)) -> c14(U51'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U31(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U32(z0, z1), x2)) -> c14(U51'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U33(z0), x2)) -> c14(U51'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U41(z0, z1), x2)) -> c14(U51'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U51(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_s(z0), x2)) -> c14(U51'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_plus(z0, z1), x2)) -> c14(U51'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U61(z0), x2)) -> c14(U51'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_U71(z0, z1, z2), x2)) -> c14(U51'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_x(z0, z1), x2)) -> c14(U51'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_and(z0, z1), x2)) -> c14(U51'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U51(x0, cons_isNatKind(z0), x2)) -> c14(U51'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U51(cons_active(z0), x1, x2)) -> c14(U51'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_mark(z0), x1, x2)) -> c14(U51'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U11(z0, z1, z2), x1, x2)) -> c14(U51'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U12(z0, z1), x1, x2)) -> c14(U51'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNat(z0), x1, x2)) -> c14(U51'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U13(z0), x1, x2)) -> c14(U51'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U21(z0, z1), x1, x2)) -> c14(U51'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U22(z0), x1, x2)) -> c14(U51'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U31(z0, z1, z2), x1, x2)) -> c14(U51'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U32(z0, z1), x1, x2)) -> c14(U51'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U33(z0), x1, x2)) -> c14(U51'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U41(z0, z1), x1, x2)) -> c14(U51'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U51(z0, z1, z2), x1, x2)) -> c14(U51'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_s(z0), x1, x2)) -> c14(U51'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_plus(z0, z1), x1, x2)) -> c14(U51'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U61(z0), x1, x2)) -> c14(U51'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_U71(z0, z1, z2), x1, x2)) -> c14(U51'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_x(z0, z1), x1, x2)) -> c14(U51'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_and(z0, z1), x1, x2)) -> c14(U51'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(cons_isNatKind(z0), x1, x2)) -> c14(U51'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(x0, x1, tt)) -> c14(U51'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, x1, 0)) -> c14(U51'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U51(x0, tt, x2)) -> c14(U51'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(x0, 0, x2)) -> c14(U51'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U51(tt, x1, x2)) -> c14(U51'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U51(0, x1, x2)) -> c14(U51'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_s(cons_active(z0))) -> c15(S(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_s(cons_mark(z0))) -> c15(S(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_s(cons_U11(z0, z1, z2))) -> c15(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_s(cons_U12(z0, z1))) -> c15(S(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_s(cons_isNat(z0))) -> c15(S(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_s(cons_U13(z0))) -> c15(S(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_s(cons_U21(z0, z1))) -> c15(S(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_s(cons_U22(z0))) -> c15(S(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_s(cons_U31(z0, z1, z2))) -> c15(S(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_s(cons_U32(z0, z1))) -> c15(S(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_s(cons_U33(z0))) -> c15(S(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_s(cons_U41(z0, z1))) -> c15(S(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_s(cons_U51(z0, z1, z2))) -> c15(S(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_s(cons_s(z0))) -> c15(S(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_s(cons_plus(z0, z1))) -> c15(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_s(cons_U61(z0))) -> c15(S(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_s(cons_U71(z0, z1, z2))) -> c15(S(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_s(cons_x(z0, z1))) -> c15(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_s(cons_and(z0, z1))) -> c15(S(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_s(cons_isNatKind(z0))) -> c15(S(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(x0, cons_active(z0))) -> c16(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_plus(x0, cons_mark(z0))) -> c16(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c16(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))) -> c16(PLUS(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_plus(x0, cons_isNat(z0))) -> c16(PLUS(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_plus(x0, cons_U13(z0))) -> c16(PLUS(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_plus(x0, cons_U21(z0, z1))) -> c16(PLUS(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_plus(x0, cons_U22(z0))) -> c16(PLUS(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_plus(x0, cons_U31(z0, z1, z2))) -> c16(PLUS(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_plus(x0, cons_U32(z0, z1))) -> c16(PLUS(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_plus(x0, cons_U33(z0))) -> c16(PLUS(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_plus(x0, cons_U41(z0, z1))) -> c16(PLUS(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_plus(x0, cons_U51(z0, z1, z2))) -> c16(PLUS(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_plus(x0, cons_s(z0))) -> c16(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c16(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_plus(x0, cons_U61(z0))) -> c16(PLUS(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_plus(x0, cons_U71(z0, z1, z2))) -> c16(PLUS(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c16(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_plus(x0, cons_and(z0, z1))) -> c16(PLUS(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_plus(x0, cons_isNatKind(z0))) -> c16(PLUS(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_plus(cons_active(z0), x1)) -> c16(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_mark(z0), x1)) -> c16(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c16(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)) -> c16(PLUS(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNat(z0), x1)) -> c16(PLUS(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U13(z0), x1)) -> c16(PLUS(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U21(z0, z1), x1)) -> c16(PLUS(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U22(z0), x1)) -> c16(PLUS(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U31(z0, z1, z2), x1)) -> c16(PLUS(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_U32(z0, z1), x1)) -> c16(PLUS(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U33(z0), x1)) -> c16(PLUS(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U41(z0, z1), x1)) -> c16(PLUS(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U51(z0, z1, z2), x1)) -> c16(PLUS(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_s(z0), x1)) -> c16(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c16(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_U61(z0), x1)) -> c16(PLUS(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_plus(cons_U71(z0, z1, z2), x1)) -> c16(PLUS(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c16(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_and(z0, z1), x1)) -> c16(PLUS(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_plus(cons_isNatKind(z0), x1)) -> c16(PLUS(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_plus(x0, tt)) -> c16(PLUS(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_plus(x0, 0)) -> c16(PLUS(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_plus(tt, x1)) -> c16(PLUS(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_plus(0, x1)) -> c16(PLUS(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_U61(cons_active(z0))) -> c17(U61'(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_U61(cons_mark(z0))) -> c17(U61'(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_U61(cons_U11(z0, z1, z2))) -> c17(U61'(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U61(cons_U12(z0, z1))) -> c17(U61'(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U61(cons_isNat(z0))) -> c17(U61'(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_U61(cons_U13(z0))) -> c17(U61'(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_U61(cons_U21(z0, z1))) -> c17(U61'(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U61(cons_U22(z0))) -> c17(U61'(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_U61(cons_U31(z0, z1, z2))) -> c17(U61'(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U61(cons_U32(z0, z1))) -> c17(U61'(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U61(cons_U33(z0))) -> c17(U61'(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_U61(cons_U41(z0, z1))) -> c17(U61'(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U61(cons_U51(z0, z1, z2))) -> c17(U61'(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U61(cons_s(z0))) -> c17(U61'(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_U61(cons_plus(z0, z1))) -> c17(U61'(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U61(cons_U61(z0))) -> c17(U61'(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_U61(cons_U71(z0, z1, z2))) -> c17(U61'(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U61(cons_x(z0, z1))) -> c17(U61'(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_U61(cons_and(z0, z1))) -> c17(U61'(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_U61(cons_isNatKind(z0))) -> c17(U61'(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, x1, cons_active(z0))) -> c18(U71'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0))) ENCARG(cons_U71(x0, x1, cons_mark(z0))) -> c18(U71'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0))) ENCARG(cons_U71(x0, x1, cons_U11(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U12(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNat(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNat(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNat(z0))) ENCARG(cons_U71(x0, x1, cons_U13(z0))) -> c18(U71'(encArg(x0), encArg(x1), U13(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U13(z0))) ENCARG(cons_U71(x0, x1, cons_U21(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U22(z0))) -> c18(U71'(encArg(x0), encArg(x1), U22(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0))) ENCARG(cons_U71(x0, x1, cons_U31(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_U32(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U32(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U33(z0))) -> c18(U71'(encArg(x0), encArg(x1), U33(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U33(z0))) ENCARG(cons_U71(x0, x1, cons_U41(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U41(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U51(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_s(z0))) -> c18(U71'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) ENCARG(cons_U71(x0, x1, cons_plus(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1))) ENCARG(cons_U71(x0, x1, cons_U61(z0))) -> c18(U71'(encArg(x0), encArg(x1), U61(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U61(z0))) ENCARG(cons_U71(x0, x1, cons_U71(z0, z1, z2))) -> c18(U71'(encArg(x0), encArg(x1), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_U71(x0, x1, cons_x(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1))) ENCARG(cons_U71(x0, x1, cons_and(z0, z1))) -> c18(U71'(encArg(x0), encArg(x1), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_and(z0, z1))) ENCARG(cons_U71(x0, x1, cons_isNatKind(z0))) -> c18(U71'(encArg(x0), encArg(x1), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_isNatKind(z0))) ENCARG(cons_U71(x0, cons_active(z0), x2)) -> c18(U71'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_mark(z0), x2)) -> c18(U71'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U11(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U12(z0, z1), x2)) -> c18(U71'(encArg(x0), U12(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNat(z0), x2)) -> c18(U71'(encArg(x0), isNat(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNat(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U13(z0), x2)) -> c18(U71'(encArg(x0), U13(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U13(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U21(z0, z1), x2)) -> c18(U71'(encArg(x0), U21(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U22(z0), x2)) -> c18(U71'(encArg(x0), U22(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U31(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U32(z0, z1), x2)) -> c18(U71'(encArg(x0), U32(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U32(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U33(z0), x2)) -> c18(U71'(encArg(x0), U33(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U33(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U41(z0, z1), x2)) -> c18(U71'(encArg(x0), U41(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_U41(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U51(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_s(z0), x2)) -> c18(U71'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_plus(z0, z1), x2)) -> c18(U71'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U61(z0), x2)) -> c18(U71'(encArg(x0), U61(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_U61(z0)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_U71(z0, z1, z2), x2)) -> c18(U71'(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_x(z0, z1), x2)) -> c18(U71'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_and(z0, z1), x2)) -> c18(U71'(encArg(x0), and(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_and(z0, z1)), ENCARG(x2)) ENCARG(cons_U71(x0, cons_isNatKind(z0), x2)) -> c18(U71'(encArg(x0), isNatKind(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_isNatKind(z0)), ENCARG(x2)) ENCARG(cons_U71(cons_active(z0), x1, x2)) -> c18(U71'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_mark(z0), x1, x2)) -> c18(U71'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U11(z0, z1, z2), x1, x2)) -> c18(U71'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U12(z0, z1), x1, x2)) -> c18(U71'(U12(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNat(z0), x1, x2)) -> c18(U71'(isNat(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNat(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U13(z0), x1, x2)) -> c18(U71'(U13(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U13(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U21(z0, z1), x1, x2)) -> c18(U71'(U21(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U22(z0), x1, x2)) -> c18(U71'(U22(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U31(z0, z1, z2), x1, x2)) -> c18(U71'(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U32(z0, z1), x1, x2)) -> c18(U71'(U32(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U32(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U33(z0), x1, x2)) -> c18(U71'(U33(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U33(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U41(z0, z1), x1, x2)) -> c18(U71'(U41(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_U41(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U51(z0, z1, z2), x1, x2)) -> c18(U71'(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_s(z0), x1, x2)) -> c18(U71'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_plus(z0, z1), x1, x2)) -> c18(U71'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U61(z0), x1, x2)) -> c18(U71'(U61(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_U61(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_U71(z0, z1, z2), x1, x2)) -> c18(U71'(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_x(z0, z1), x1, x2)) -> c18(U71'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_and(z0, z1), x1, x2)) -> c18(U71'(and(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_and(z0, z1)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(cons_isNatKind(z0), x1, x2)) -> c18(U71'(isNatKind(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_isNatKind(z0)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(x0, x1, tt)) -> c18(U71'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, x1, 0)) -> c18(U71'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1)) ENCARG(cons_U71(x0, tt, x2)) -> c18(U71'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(x0, 0, x2)) -> c18(U71'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2)) ENCARG(cons_U71(tt, x1, x2)) -> c18(U71'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_U71(0, x1, x2)) -> c18(U71'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2)) ENCARG(cons_x(x0, cons_active(z0))) -> c19(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_x(x0, cons_mark(z0))) -> c19(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c19(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_x(x0, cons_U12(z0, z1))) -> c19(X(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_x(x0, cons_isNat(z0))) -> c19(X(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_x(x0, cons_U13(z0))) -> c19(X(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_x(x0, cons_U21(z0, z1))) -> c19(X(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_x(x0, cons_U22(z0))) -> c19(X(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_x(x0, cons_U31(z0, z1, z2))) -> c19(X(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_x(x0, cons_U32(z0, z1))) -> c19(X(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_x(x0, cons_U33(z0))) -> c19(X(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_x(x0, cons_U41(z0, z1))) -> c19(X(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_x(x0, cons_U51(z0, z1, z2))) -> c19(X(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_x(x0, cons_s(z0))) -> c19(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c19(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_x(x0, cons_U61(z0))) -> c19(X(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_x(x0, cons_U71(z0, z1, z2))) -> c19(X(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_x(x0, cons_x(z0, z1))) -> c19(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_x(x0, cons_and(z0, z1))) -> c19(X(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_x(x0, cons_isNatKind(z0))) -> c19(X(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_x(cons_active(z0), x1)) -> c19(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_x(cons_mark(z0), x1)) -> c19(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c19(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U12(z0, z1), x1)) -> c19(X(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNat(z0), x1)) -> c19(X(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U13(z0), x1)) -> c19(X(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U21(z0, z1), x1)) -> c19(X(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U22(z0), x1)) -> c19(X(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U31(z0, z1, z2), x1)) -> c19(X(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_U32(z0, z1), x1)) -> c19(X(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U33(z0), x1)) -> c19(X(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U41(z0, z1), x1)) -> c19(X(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U51(z0, z1, z2), x1)) -> c19(X(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_s(z0), x1)) -> c19(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c19(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_U61(z0), x1)) -> c19(X(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_x(cons_U71(z0, z1, z2), x1)) -> c19(X(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_x(cons_x(z0, z1), x1)) -> c19(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_and(z0, z1), x1)) -> c19(X(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_x(cons_isNatKind(z0), x1)) -> c19(X(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_x(x0, tt)) -> c19(X(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_x(x0, 0)) -> c19(X(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_x(tt, x1)) -> c19(X(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_x(0, x1)) -> c19(X(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(x0, cons_active(z0))) -> c20(AND(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0))) ENCARG(cons_and(x0, cons_mark(z0))) -> c20(AND(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0))) ENCARG(cons_and(x0, cons_U11(z0, z1, z2))) -> c20(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))) -> c20(AND(encArg(x0), U12(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U12(z0, z1))) ENCARG(cons_and(x0, cons_isNat(z0))) -> c20(AND(encArg(x0), isNat(encArg(z0))), ENCARG(x0), ENCARG(cons_isNat(z0))) ENCARG(cons_and(x0, cons_U13(z0))) -> c20(AND(encArg(x0), U13(encArg(z0))), ENCARG(x0), ENCARG(cons_U13(z0))) ENCARG(cons_and(x0, cons_U21(z0, z1))) -> c20(AND(encArg(x0), U21(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U21(z0, z1))) ENCARG(cons_and(x0, cons_U22(z0))) -> c20(AND(encArg(x0), U22(encArg(z0))), ENCARG(x0), ENCARG(cons_U22(z0))) ENCARG(cons_and(x0, cons_U31(z0, z1, z2))) -> c20(AND(encArg(x0), U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_and(x0, cons_U32(z0, z1))) -> c20(AND(encArg(x0), U32(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U32(z0, z1))) ENCARG(cons_and(x0, cons_U33(z0))) -> c20(AND(encArg(x0), U33(encArg(z0))), ENCARG(x0), ENCARG(cons_U33(z0))) ENCARG(cons_and(x0, cons_U41(z0, z1))) -> c20(AND(encArg(x0), U41(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_U41(z0, z1))) ENCARG(cons_and(x0, cons_U51(z0, z1, z2))) -> c20(AND(encArg(x0), U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_and(x0, cons_s(z0))) -> c20(AND(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0))) ENCARG(cons_and(x0, cons_plus(z0, z1))) -> c20(AND(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1))) ENCARG(cons_and(x0, cons_U61(z0))) -> c20(AND(encArg(x0), U61(encArg(z0))), ENCARG(x0), ENCARG(cons_U61(z0))) ENCARG(cons_and(x0, cons_U71(z0, z1, z2))) -> c20(AND(encArg(x0), U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_and(x0, cons_x(z0, z1))) -> c20(AND(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1))) ENCARG(cons_and(x0, cons_and(z0, z1))) -> c20(AND(encArg(x0), and(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_and(z0, z1))) ENCARG(cons_and(x0, cons_isNatKind(z0))) -> c20(AND(encArg(x0), isNatKind(encArg(z0))), ENCARG(x0), ENCARG(cons_isNatKind(z0))) ENCARG(cons_and(cons_active(z0), x1)) -> c20(AND(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1)) ENCARG(cons_and(cons_mark(z0), x1)) -> c20(AND(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U11(z0, z1, z2), x1)) -> c20(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)) -> c20(AND(U12(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U12(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNat(z0), x1)) -> c20(AND(isNat(encArg(z0)), encArg(x1)), ENCARG(cons_isNat(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U13(z0), x1)) -> c20(AND(U13(encArg(z0)), encArg(x1)), ENCARG(cons_U13(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U21(z0, z1), x1)) -> c20(AND(U21(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U21(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U22(z0), x1)) -> c20(AND(U22(encArg(z0)), encArg(x1)), ENCARG(cons_U22(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U31(z0, z1, z2), x1)) -> c20(AND(U31(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U31(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_U32(z0, z1), x1)) -> c20(AND(U32(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U32(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U33(z0), x1)) -> c20(AND(U33(encArg(z0)), encArg(x1)), ENCARG(cons_U33(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U41(z0, z1), x1)) -> c20(AND(U41(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_U41(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U51(z0, z1, z2), x1)) -> c20(AND(U51(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U51(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_s(z0), x1)) -> c20(AND(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1)) ENCARG(cons_and(cons_plus(z0, z1), x1)) -> c20(AND(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_U61(z0), x1)) -> c20(AND(U61(encArg(z0)), encArg(x1)), ENCARG(cons_U61(z0)), ENCARG(x1)) ENCARG(cons_and(cons_U71(z0, z1, z2), x1)) -> c20(AND(U71(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U71(z0, z1, z2)), ENCARG(x1)) ENCARG(cons_and(cons_x(z0, z1), x1)) -> c20(AND(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_and(z0, z1), x1)) -> c20(AND(and(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_and(z0, z1)), ENCARG(x1)) ENCARG(cons_and(cons_isNatKind(z0), x1)) -> c20(AND(isNatKind(encArg(z0)), encArg(x1)), ENCARG(cons_isNatKind(z0)), ENCARG(x1)) ENCARG(cons_and(x0, tt)) -> c20(AND(encArg(x0), tt), ENCARG(x0)) ENCARG(cons_and(x0, 0)) -> c20(AND(encArg(x0), 0), ENCARG(x0)) ENCARG(cons_and(tt, x1)) -> c20(AND(tt, encArg(x1)), ENCARG(x1)) ENCARG(cons_and(0, x1)) -> c20(AND(0, encArg(x1)), ENCARG(x1)) ENCARG(cons_isNatKind(cons_active(z0))) -> c21(ISNATKIND(active(encArg(z0))), ENCARG(cons_active(z0))) ENCARG(cons_isNatKind(cons_mark(z0))) -> c21(ISNATKIND(mark(encArg(z0))), ENCARG(cons_mark(z0))) ENCARG(cons_isNatKind(cons_U11(z0, z1, z2))) -> c21(ISNATKIND(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U12(z0, z1))) -> c21(ISNATKIND(U12(encArg(z0), encArg(z1))), ENCARG(cons_U12(z0, z1))) ENCARG(cons_isNatKind(cons_isNat(z0))) -> c21(ISNATKIND(isNat(encArg(z0))), ENCARG(cons_isNat(z0))) ENCARG(cons_isNatKind(cons_U13(z0))) -> c21(ISNATKIND(U13(encArg(z0))), ENCARG(cons_U13(z0))) ENCARG(cons_isNatKind(cons_U21(z0, z1))) -> c21(ISNATKIND(U21(encArg(z0), encArg(z1))), ENCARG(cons_U21(z0, z1))) ENCARG(cons_isNatKind(cons_U22(z0))) -> c21(ISNATKIND(U22(encArg(z0))), ENCARG(cons_U22(z0))) ENCARG(cons_isNatKind(cons_U31(z0, z1, z2))) -> c21(ISNATKIND(U31(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U31(z0, z1, z2))) ENCARG(cons_isNatKind(cons_U32(z0, z1))) -> c21(ISNATKIND(U32(encArg(z0), encArg(z1))), ENCARG(cons_U32(z0, z1))) ENCARG(cons_isNatKind(cons_U33(z0))) -> c21(ISNATKIND(U33(encArg(z0))), ENCARG(cons_U33(z0))) ENCARG(cons_isNatKind(cons_U41(z0, z1))) -> c21(ISNATKIND(U41(encArg(z0), encArg(z1))), ENCARG(cons_U41(z0, z1))) ENCARG(cons_isNatKind(cons_U51(z0, z1, z2))) -> c21(ISNATKIND(U51(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U51(z0, z1, z2))) ENCARG(cons_isNatKind(cons_s(z0))) -> c21(ISNATKIND(s(encArg(z0))), ENCARG(cons_s(z0))) ENCARG(cons_isNatKind(cons_plus(z0, z1))) -> c21(ISNATKIND(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) ENCARG(cons_isNatKind(cons_U61(z0))) -> c21(ISNATKIND(U61(encArg(z0))), ENCARG(cons_U61(z0))) ENCARG(cons_isNatKind(cons_U71(z0, z1, z2))) -> c21(ISNATKIND(U71(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U71(z0, z1, z2))) ENCARG(cons_isNatKind(cons_x(z0, z1))) -> c21(ISNATKIND(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1))) ENCARG(cons_isNatKind(cons_and(z0, z1))) -> c21(ISNATKIND(and(encArg(z0), encArg(z1))), ENCARG(cons_and(z0, z1))) ENCARG(cons_isNatKind(cons_isNatKind(z0))) -> c21(ISNATKIND(isNatKind(encArg(z0))), ENCARG(cons_isNatKind(z0))) MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt)) MARK(U11(U12(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U11(U13(z0), x1, x2)) -> c69(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0))) MARK(U11(U31(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U31(mark(z0), z1, z2)), x1, x2)), U11'(mark(U31(z0, z1, z2)), x1, x2), MARK(U31(z0, z1, z2))) MARK(U11(U32(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U32(mark(z0), z1)), x1, x2)), U11'(mark(U32(z0, z1)), x1, x2), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1, x2)) -> c69(ACTIVE(U11(active(U33(mark(z0))), x1, x2)), U11'(mark(U33(z0)), x1, x2), MARK(U33(z0))) MARK(U11(U41(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U41(mark(z0), z1)), x1, x2)), U11'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1, x2)), U11'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U11(s(z0), x1, x2)) -> c69(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U11(plus(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1, x2)) -> c69(ACTIVE(U11(active(U61(mark(z0))), x1, x2)), U11'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U11(0, x1, x2)) -> c69(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0)) MARK(U11(U71(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1, x2)), U11'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(and(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1))) MARK(U11(isNatKind(z0), x1, x2)) -> c69(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0))) MARK(U11(x0, x1, x2)) -> c69(U11'(mark(x0), x1, x2)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0)) MARK(U12(U11(z0, z1, z2), x1)) -> c71(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)) -> c71(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt)) MARK(U12(U12(z0, z1), x1)) -> c71(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1))) MARK(U12(isNat(z0), x1)) -> c71(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U12(U13(z0), x1)) -> c71(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c71(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0), x1)) -> c71(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0))) MARK(U12(U31(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U31(mark(z0), z1, z2)), x1)), U12'(mark(U31(z0, z1, z2)), x1), MARK(U31(z0, z1, z2))) MARK(U12(U32(z0, z1), x1)) -> c71(ACTIVE(U12(active(U32(mark(z0), z1)), x1)), U12'(mark(U32(z0, z1)), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c71(ACTIVE(U12(active(U33(mark(z0))), x1)), U12'(mark(U33(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1), x1)) -> c71(ACTIVE(U12(active(U41(mark(z0), z1)), x1)), U12'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U51(mark(z0), z1, z2)), x1)), U12'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U12(s(z0), x1)) -> c71(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0))) MARK(U12(plus(z0, z1), x1)) -> c71(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U12(U61(z0), x1)) -> c71(ACTIVE(U12(active(U61(mark(z0))), x1)), U12'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U12(0, x1)) -> c71(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0)) MARK(U12(U71(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U71(mark(z0), z1, z2)), x1)), U12'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U12(x(z0, z1), x1)) -> c71(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1)), U12'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U12(and(z0, z1), x1)) -> c71(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c71(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0))) MARK(U12(x0, x1)) -> c71(U12'(mark(x0), x1)) MARK(U13(z0)) -> c73(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0)) MARK(U13(U11(z0, z1, z2))) -> c73(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) MARK(U13(tt)) -> c73(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt)) MARK(U13(U12(z0, z1))) -> c73(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1))) MARK(U13(isNat(z0))) -> c73(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U13(U13(z0))) -> c73(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0))) MARK(U13(U21(z0, z1))) -> c73(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1))) MARK(U13(U22(z0))) -> c73(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0))) MARK(U13(U31(z0, z1, z2))) -> c73(ACTIVE(U13(active(U31(mark(z0), z1, z2)))), U13'(mark(U31(z0, z1, z2))), MARK(U31(z0, z1, z2))) MARK(U13(U32(z0, z1))) -> c73(ACTIVE(U13(active(U32(mark(z0), z1)))), U13'(mark(U32(z0, z1))), MARK(U32(z0, z1))) MARK(U13(U33(z0))) -> c73(ACTIVE(U13(active(U33(mark(z0))))), U13'(mark(U33(z0))), MARK(U33(z0))) MARK(U13(U41(z0, z1))) -> c73(ACTIVE(U13(active(U41(mark(z0), z1)))), U13'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U13(U51(z0, z1, z2))) -> c73(ACTIVE(U13(active(U51(mark(z0), z1, z2)))), U13'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U13(s(z0))) -> c73(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0))) MARK(U13(plus(z0, z1))) -> c73(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U13(U61(z0))) -> c73(ACTIVE(U13(active(U61(mark(z0))))), U13'(mark(U61(z0))), MARK(U61(z0))) MARK(U13(0)) -> c73(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0)) MARK(U13(U71(z0, z1, z2))) -> c73(ACTIVE(U13(active(U71(mark(z0), z1, z2)))), U13'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U13(x(z0, z1))) -> c73(ACTIVE(U13(active(x(mark(z0), mark(z1))))), U13'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U13(and(z0, z1))) -> c73(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1))) MARK(U13(isNatKind(z0))) -> c73(ACTIVE(U13(active(isNatKind(z0)))), U13'(mark(isNatKind(z0))), MARK(isNatKind(z0))) S tuples: ACTIVE(U11(tt, z0, z1)) -> c44(MARK(U12(isNat(z0), z1)), U12'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U13(tt)) -> c46(MARK(tt)) ACTIVE(U22(tt)) -> c48(MARK(tt)) ACTIVE(U31(tt, z0, z1)) -> c49(MARK(U32(isNat(z0), z1)), U32'(isNat(z0), z1), ISNAT(z0)) ACTIVE(U33(tt)) -> c51(MARK(tt)) ACTIVE(U41(tt, z0)) -> c52(MARK(z0)) ACTIVE(U61(tt)) -> c54(MARK(0)) ACTIVE(and(tt, z0)) -> c56(MARK(z0)) ACTIVE(isNat(0)) -> c57(MARK(tt)) ACTIVE(isNatKind(0)) -> c61(MARK(tt)) ACTIVE(isNatKind(s(z0))) -> c63(MARK(isNatKind(z0)), ISNATKIND(z0)) MARK(isNat(z0)) -> c72(ACTIVE(isNat(z0)), ISNAT(z0)) MARK(U21(z0, z1)) -> c74(ACTIVE(U21(mark(z0), z1)), U21'(mark(z0), z1), MARK(z0)) MARK(U22(z0)) -> c75(ACTIVE(U22(mark(z0))), U22'(mark(z0)), MARK(z0)) MARK(U31(z0, z1, z2)) -> c76(ACTIVE(U31(mark(z0), z1, z2)), U31'(mark(z0), z1, z2), MARK(z0)) MARK(U32(z0, z1)) -> c77(ACTIVE(U32(mark(z0), z1)), U32'(mark(z0), z1), MARK(z0)) MARK(U33(z0)) -> c78(ACTIVE(U33(mark(z0))), U33'(mark(z0)), MARK(z0)) MARK(U41(z0, z1)) -> c79(ACTIVE(U41(mark(z0), z1)), U41'(mark(z0), z1), MARK(z0)) MARK(U51(z0, z1, z2)) -> c80(ACTIVE(U51(mark(z0), z1, z2)), U51'(mark(z0), z1, z2), MARK(z0)) MARK(s(z0)) -> c81(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) MARK(plus(z0, z1)) -> c82(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(U61(z0)) -> c83(ACTIVE(U61(mark(z0))), U61'(mark(z0)), MARK(z0)) MARK(U71(z0, z1, z2)) -> c85(ACTIVE(U71(mark(z0), z1, z2)), U71'(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c86(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) MARK(and(z0, z1)) -> c87(ACTIVE(and(mark(z0), z1)), AND(mark(z0), z1), MARK(z0)) MARK(isNatKind(z0)) -> c88(ACTIVE(isNatKind(z0)), ISNATKIND(z0)) U11'(mark(z0), z1, z2) -> c89(U11'(z0, z1, z2)) U11'(z0, mark(z1), z2) -> c90(U11'(z0, z1, z2)) U11'(z0, z1, mark(z2)) -> c91(U11'(z0, z1, z2)) U11'(active(z0), z1, z2) -> c92(U11'(z0, z1, z2)) U11'(z0, active(z1), z2) -> c93(U11'(z0, z1, z2)) U11'(z0, z1, active(z2)) -> c94(U11'(z0, z1, z2)) U12'(mark(z0), z1) -> c95(U12'(z0, z1)) U12'(z0, mark(z1)) -> c96(U12'(z0, z1)) U12'(active(z0), z1) -> c97(U12'(z0, z1)) U12'(z0, active(z1)) -> c98(U12'(z0, z1)) ISNAT(mark(z0)) -> c99(ISNAT(z0)) ISNAT(active(z0)) -> c100(ISNAT(z0)) U13'(mark(z0)) -> c101(U13'(z0)) U13'(active(z0)) -> c102(U13'(z0)) U21'(mark(z0), z1) -> c103(U21'(z0, z1)) U21'(z0, mark(z1)) -> c104(U21'(z0, z1)) U21'(active(z0), z1) -> c105(U21'(z0, z1)) U21'(z0, active(z1)) -> c106(U21'(z0, z1)) U22'(mark(z0)) -> c107(U22'(z0)) U22'(active(z0)) -> c108(U22'(z0)) U31'(mark(z0), z1, z2) -> c109(U31'(z0, z1, z2)) U31'(z0, mark(z1), z2) -> c110(U31'(z0, z1, z2)) U31'(z0, z1, mark(z2)) -> c111(U31'(z0, z1, z2)) U31'(active(z0), z1, z2) -> c112(U31'(z0, z1, z2)) U31'(z0, active(z1), z2) -> c113(U31'(z0, z1, z2)) U31'(z0, z1, active(z2)) -> c114(U31'(z0, z1, z2)) U32'(mark(z0), z1) -> c115(U32'(z0, z1)) U32'(z0, mark(z1)) -> c116(U32'(z0, z1)) U32'(active(z0), z1) -> c117(U32'(z0, z1)) U32'(z0, active(z1)) -> c118(U32'(z0, z1)) U33'(mark(z0)) -> c119(U33'(z0)) U33'(active(z0)) -> c120(U33'(z0)) U41'(mark(z0), z1) -> c121(U41'(z0, z1)) U41'(z0, mark(z1)) -> c122(U41'(z0, z1)) U41'(active(z0), z1) -> c123(U41'(z0, z1)) U41'(z0, active(z1)) -> c124(U41'(z0, z1)) U51'(mark(z0), z1, z2) -> c125(U51'(z0, z1, z2)) U51'(z0, mark(z1), z2) -> c126(U51'(z0, z1, z2)) U51'(z0, z1, mark(z2)) -> c127(U51'(z0, z1, z2)) U51'(active(z0), z1, z2) -> c128(U51'(z0, z1, z2)) U51'(z0, active(z1), z2) -> c129(U51'(z0, z1, z2)) U51'(z0, z1, active(z2)) -> c130(U51'(z0, z1, z2)) S(mark(z0)) -> c131(S(z0)) S(active(z0)) -> c132(S(z0)) PLUS(mark(z0), z1) -> c133(PLUS(z0, z1)) PLUS(z0, mark(z1)) -> c134(PLUS(z0, z1)) PLUS(active(z0), z1) -> c135(PLUS(z0, z1)) PLUS(z0, active(z1)) -> c136(PLUS(z0, z1)) U61'(mark(z0)) -> c137(U61'(z0)) U61'(active(z0)) -> c138(U61'(z0)) U71'(mark(z0), z1, z2) -> c139(U71'(z0, z1, z2)) U71'(z0, mark(z1), z2) -> c140(U71'(z0, z1, z2)) U71'(z0, z1, mark(z2)) -> c141(U71'(z0, z1, z2)) U71'(active(z0), z1, z2) -> c142(U71'(z0, z1, z2)) U71'(z0, active(z1), z2) -> c143(U71'(z0, z1, z2)) U71'(z0, z1, active(z2)) -> c144(U71'(z0, z1, z2)) X(mark(z0), z1) -> c145(X(z0, z1)) X(z0, mark(z1)) -> c146(X(z0, z1)) X(active(z0), z1) -> c147(X(z0, z1)) X(z0, active(z1)) -> c148(X(z0, z1)) AND(mark(z0), z1) -> c149(AND(z0, z1)) AND(z0, mark(z1)) -> c150(AND(z0, z1)) AND(active(z0), z1) -> c151(AND(z0, z1)) AND(z0, active(z1)) -> c152(AND(z0, z1)) ISNATKIND(mark(z0)) -> c153(ISNATKIND(z0)) ISNATKIND(active(z0)) -> c154(ISNATKIND(z0)) ACTIVE(U12(tt, z0)) -> c45(MARK(U13(isNat(z0))), ISNAT(z0)) ACTIVE(U21(tt, z0)) -> c47(MARK(U22(isNat(z0))), ISNAT(z0)) ACTIVE(U32(tt, z0)) -> c50(MARK(U33(isNat(z0))), ISNAT(z0)) ACTIVE(U51(tt, z0, z1)) -> c53(MARK(s(plus(z1, z0))), PLUS(z1, z0)) ACTIVE(U71(tt, z0, z1)) -> c55(MARK(plus(x(z1, z0), z1)), X(z1, z0)) ACTIVE(isNat(plus(z0, z1))) -> c58(MARK(U11(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNat(s(z0))) -> c59(MARK(U21(isNatKind(z0), z0)), ISNATKIND(z0)) ACTIVE(isNat(x(z0, z1))) -> c60(MARK(U31(and(isNatKind(z0), isNatKind(z1)), z0, z1)), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(plus(z0, z1))) -> c62(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(isNatKind(x(z0, z1))) -> c64(MARK(and(isNatKind(z0), isNatKind(z1))), ISNATKIND(z0), ISNATKIND(z1)) ACTIVE(plus(z0, 0)) -> c65(MARK(U41(and(isNat(z0), isNatKind(z0)), z0)), ISNAT(z0), ISNATKIND(z0)) ACTIVE(plus(z0, s(z1))) -> c66(MARK(U51(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, 0)) -> c67(MARK(U61(and(isNat(z0), isNatKind(z0)))), ISNAT(z0), ISNATKIND(z0)) ACTIVE(x(z0, s(z1))) -> c68(MARK(U71(and(and(isNat(z1), isNatKind(z1)), and(isNat(z0), isNatKind(z0))), z1, z0)), ISNAT(z1), ISNATKIND(z1), ISNAT(z0), ISNATKIND(z0)) MARK(tt) -> c70 MARK(0) -> c84 MARK(U11(z0, z1, z2)) -> c69(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt)) MARK(U11(U12(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(isNat(z0)), x1, x2)), U11'(mark(isNat(z0)), x1, x2), MARK(isNat(z0))) MARK(U11(U13(z0), x1, x2)) -> c69(ACTIVE(U11(active(U13(mark(z0))), x1, x2)), U11'(mark(U13(z0)), x1, x2), MARK(U13(z0))) MARK(U11(U21(z0, z1), x1, x2)) -> c69(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)) -> c69(ACTIVE(U11(active(U22(mark(z0))), x1, x2)), U11'(mark(U22(z0)), x1, x2), MARK(U22(z0))) MARK(U11(U31(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U31(mark(z0), z1, z2)), x1, x2)), U11'(mark(U31(z0, z1, z2)), x1, x2), MARK(U31(z0, z1, z2))) MARK(U11(U32(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U32(mark(z0), z1)), x1, x2)), U11'(mark(U32(z0, z1)), x1, x2), MARK(U32(z0, z1))) MARK(U11(U33(z0), x1, x2)) -> c69(ACTIVE(U11(active(U33(mark(z0))), x1, x2)), U11'(mark(U33(z0)), x1, x2), MARK(U33(z0))) MARK(U11(U41(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(U41(mark(z0), z1)), x1, x2)), U11'(mark(U41(z0, z1)), x1, x2), MARK(U41(z0, z1))) MARK(U11(U51(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U51(mark(z0), z1, z2)), x1, x2)), U11'(mark(U51(z0, z1, z2)), x1, x2), MARK(U51(z0, z1, z2))) MARK(U11(s(z0), x1, x2)) -> c69(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0))) MARK(U11(plus(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U61(z0), x1, x2)) -> c69(ACTIVE(U11(active(U61(mark(z0))), x1, x2)), U11'(mark(U61(z0)), x1, x2), MARK(U61(z0))) MARK(U11(0, x1, x2)) -> c69(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0)) MARK(U11(U71(z0, z1, z2), x1, x2)) -> c69(ACTIVE(U11(active(U71(mark(z0), z1, z2)), x1, x2)), U11'(mark(U71(z0, z1, z2)), x1, x2), MARK(U71(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(and(z0, z1), x1, x2)) -> c69(ACTIVE(U11(active(and(mark(z0), z1)), x1, x2)), U11'(mark(and(z0, z1)), x1, x2), MARK(and(z0, z1))) MARK(U11(isNatKind(z0), x1, x2)) -> c69(ACTIVE(U11(active(isNatKind(z0)), x1, x2)), U11'(mark(isNatKind(z0)), x1, x2), MARK(isNatKind(z0))) MARK(U11(x0, x1, x2)) -> c69(U11'(mark(x0), x1, x2)) MARK(U12(z0, z1)) -> c71(ACTIVE(U12(z0, z1)), U12'(mark(z0), z1), MARK(z0)) MARK(U12(U11(z0, z1, z2), x1)) -> c71(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)) -> c71(ACTIVE(U12(active(tt), x1)), U12'(mark(tt), x1), MARK(tt)) MARK(U12(U12(z0, z1), x1)) -> c71(ACTIVE(U12(active(U12(mark(z0), z1)), x1)), U12'(mark(U12(z0, z1)), x1), MARK(U12(z0, z1))) MARK(U12(isNat(z0), x1)) -> c71(ACTIVE(U12(active(isNat(z0)), x1)), U12'(mark(isNat(z0)), x1), MARK(isNat(z0))) MARK(U12(U13(z0), x1)) -> c71(ACTIVE(U12(active(U13(mark(z0))), x1)), U12'(mark(U13(z0)), x1), MARK(U13(z0))) MARK(U12(U21(z0, z1), x1)) -> c71(ACTIVE(U12(active(U21(mark(z0), z1)), x1)), U12'(mark(U21(z0, z1)), x1), MARK(U21(z0, z1))) MARK(U12(U22(z0), x1)) -> c71(ACTIVE(U12(active(U22(mark(z0))), x1)), U12'(mark(U22(z0)), x1), MARK(U22(z0))) MARK(U12(U31(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U31(mark(z0), z1, z2)), x1)), U12'(mark(U31(z0, z1, z2)), x1), MARK(U31(z0, z1, z2))) MARK(U12(U32(z0, z1), x1)) -> c71(ACTIVE(U12(active(U32(mark(z0), z1)), x1)), U12'(mark(U32(z0, z1)), x1), MARK(U32(z0, z1))) MARK(U12(U33(z0), x1)) -> c71(ACTIVE(U12(active(U33(mark(z0))), x1)), U12'(mark(U33(z0)), x1), MARK(U33(z0))) MARK(U12(U41(z0, z1), x1)) -> c71(ACTIVE(U12(active(U41(mark(z0), z1)), x1)), U12'(mark(U41(z0, z1)), x1), MARK(U41(z0, z1))) MARK(U12(U51(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U51(mark(z0), z1, z2)), x1)), U12'(mark(U51(z0, z1, z2)), x1), MARK(U51(z0, z1, z2))) MARK(U12(s(z0), x1)) -> c71(ACTIVE(U12(active(s(mark(z0))), x1)), U12'(mark(s(z0)), x1), MARK(s(z0))) MARK(U12(plus(z0, z1), x1)) -> c71(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1)), U12'(mark(plus(z0, z1)), x1), MARK(plus(z0, z1))) MARK(U12(U61(z0), x1)) -> c71(ACTIVE(U12(active(U61(mark(z0))), x1)), U12'(mark(U61(z0)), x1), MARK(U61(z0))) MARK(U12(0, x1)) -> c71(ACTIVE(U12(active(0), x1)), U12'(mark(0), x1), MARK(0)) MARK(U12(U71(z0, z1, z2), x1)) -> c71(ACTIVE(U12(active(U71(mark(z0), z1, z2)), x1)), U12'(mark(U71(z0, z1, z2)), x1), MARK(U71(z0, z1, z2))) MARK(U12(x(z0, z1), x1)) -> c71(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1)), U12'(mark(x(z0, z1)), x1), MARK(x(z0, z1))) MARK(U12(and(z0, z1), x1)) -> c71(ACTIVE(U12(active(and(mark(z0), z1)), x1)), U12'(mark(and(z0, z1)), x1), MARK(and(z0, z1))) MARK(U12(isNatKind(z0), x1)) -> c71(ACTIVE(U12(active(isNatKind(z0)), x1)), U12'(mark(isNatKind(z0)), x1), MARK(isNatKind(z0))) MARK(U12(x0, x1)) -> c71(U12'(mark(x0), x1)) MARK(U13(z0)) -> c73(ACTIVE(U13(z0)), U13'(mark(z0)), MARK(z0)) MARK(U13(U11(z0, z1, z2))) -> c73(ACTIVE(U13(active(U11(mark(z0), z1, z2)))), U13'(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) MARK(U13(tt)) -> c73(ACTIVE(U13(active(tt))), U13'(mark(tt)), MARK(tt)) MARK(U13(U12(z0, z1))) -> c73(ACTIVE(U13(active(U12(mark(z0), z1)))), U13'(mark(U12(z0, z1))), MARK(U12(z0, z1))) MARK(U13(isNat(z0))) -> c73(ACTIVE(U13(active(isNat(z0)))), U13'(mark(isNat(z0))), MARK(isNat(z0))) MARK(U13(U13(z0))) -> c73(ACTIVE(U13(active(U13(mark(z0))))), U13'(mark(U13(z0))), MARK(U13(z0))) MARK(U13(U21(z0, z1))) -> c73(ACTIVE(U13(active(U21(mark(z0), z1)))), U13'(mark(U21(z0, z1))), MARK(U21(z0, z1))) MARK(U13(U22(z0))) -> c73(ACTIVE(U13(active(U22(mark(z0))))), U13'(mark(U22(z0))), MARK(U22(z0))) MARK(U13(U31(z0, z1, z2))) -> c73(ACTIVE(U13(active(U31(mark(z0), z1, z2)))), U13'(mark(U31(z0, z1, z2))), MARK(U31(z0, z1, z2))) MARK(U13(U32(z0, z1))) -> c73(ACTIVE(U13(active(U32(mark(z0), z1)))), U13'(mark(U32(z0, z1))), MARK(U32(z0, z1))) MARK(U13(U33(z0))) -> c73(ACTIVE(U13(active(U33(mark(z0))))), U13'(mark(U33(z0))), MARK(U33(z0))) MARK(U13(U41(z0, z1))) -> c73(ACTIVE(U13(active(U41(mark(z0), z1)))), U13'(mark(U41(z0, z1))), MARK(U41(z0, z1))) MARK(U13(U51(z0, z1, z2))) -> c73(ACTIVE(U13(active(U51(mark(z0), z1, z2)))), U13'(mark(U51(z0, z1, z2))), MARK(U51(z0, z1, z2))) MARK(U13(s(z0))) -> c73(ACTIVE(U13(active(s(mark(z0))))), U13'(mark(s(z0))), MARK(s(z0))) MARK(U13(plus(z0, z1))) -> c73(ACTIVE(U13(active(plus(mark(z0), mark(z1))))), U13'(mark(plus(z0, z1))), MARK(plus(z0, z1))) MARK(U13(U61(z0))) -> c73(ACTIVE(U13(active(U61(mark(z0))))), U13'(mark(U61(z0))), MARK(U61(z0))) MARK(U13(0)) -> c73(ACTIVE(U13(active(0))), U13'(mark(0)), MARK(0)) MARK(U13(U71(z0, z1, z2))) -> c73(ACTIVE(U13(active(U71(mark(z0), z1, z2)))), U13'(mark(U71(z0, z1, z2))), MARK(U71(z0, z1, z2))) MARK(U13(x(z0, z1))) -> c73(ACTIVE(U13(active(x(mark(z0), mark(z1))))), U13'(mark(x(z0, z1))), MARK(x(z0, z1))) MARK(U13(and(z0, z1))) -> c73(ACTIVE(U13(active(and(mark(z0), z1)))), U13'(mark(and(z0, z1))), MARK(and(z0, z1))) MARK(U13(isNatKind(z0))) -> c73(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_3, U32_2, U33_1, U41_2, U51_3, s_1, plus_2, U61_1, U71_3, x_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'_3, U32'_2, U33'_1, U41'_2, U51'_3, S_1, PLUS_2, U61'_1, U71'_3, X_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_3, ENCODE_U32_2, ENCODE_U33_1, ENCODE_U41_2, ENCODE_U51_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U61_1, ENCODE_U71_3, ENCODE_X_2, ENCODE_AND_2, ENCODE_ISNATKIND_1, ENCARG_1 Compound Symbols: c44_3, c46_1, c48_1, c49_3, c51_1, c52_1, c54_1, c56_1, c57_1, c61_1, c63_2, c72_2, c74_3, c75_3, c76_3, c77_3, c78_3, c79_3, c80_3, c81_3, c82_4, c83_3, c85_3, c86_4, c87_3, c88_2, 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, c104_1, c105_1, c106_1, c107_1, c108_1, c109_1, c110_1, c111_1, c112_1, c113_1, c114_1, c115_1, c116_1, c117_1, c118_1, c119_1, c120_1, c121_1, c122_1, c123_1, c124_1, c125_1, c126_1, c127_1, c128_1, c129_1, c130_1, c131_1, c132_1, c133_1, c134_1, c135_1, c136_1, c137_1, c138_1, c139_1, c140_1, c141_1, c142_1, c143_1, c144_1, c145_1, c146_1, c147_1, c148_1, c149_1, c150_1, c151_1, c152_1, c153_1, c154_1, c45_2, c47_2, c50_2, c53_2, c55_2, c58_3, c59_2, c60_3, c62_3, c64_3, c65_3, c66_5, c67_3, c68_5, c70, c84, 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_4, c10_3, c11_3, c11_2, c12_2, c13_3, c13_2, c14_4, c14_3, c15_2, c16_3, c16_2, c17_2, c18_4, c18_3, c19_3, c19_2, c20_3, c20_2, c21_2, c69_3, c69_1, c71_3, c71_1, c73_3